https://en.wikipedia.org/w/index.php?action=history&feed=atom&title=Luhn_mod_N_algorithm
Luhn mod N algorithm - Revision history
2025-06-24T08:53:44Z
Revision history for this page on the wiki
MediaWiki 1.45.0-wmf.6
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1289104482&oldid=prev
MrOllie: Restored revision 1287924155 by Tc14Hd (talk)
2025-05-06T14:17:01Z
<p>Restored revision 1287924155 by <a href="/wiki/Special:Contributions/Tc14Hd" title="Special:Contributions/Tc14Hd">Tc14Hd</a> (<a href="/wiki/User_talk:Tc14Hd" title="User talk:Tc14Hd">talk</a>)</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{DISPLAYTITLE:Luhn mod ''N'' algorithm}}</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The '''Luhn mod ''N'' algorithm''' is an extension to the [[Luhn algorithm]] (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered [[Radix|base]]. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of {{Var|N}} characters where {{Var|N}} is divisible by 2.<del style="font-weight: bold; text-decoration: none;"><ref>GeeksforGeeks. (2024). Generation of Programming Languages. Retrieved May 2, 2025, from [https://www.geeksforgeeks.org/generation-programming-languages/](https://www.geeksforgeeks.org/generation-programming-languages/)</ref></del></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The '''Luhn mod ''N'' algorithm''' is an extension to the [[Luhn algorithm]] (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered [[Radix|base]]. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of {{Var|N}} characters where {{Var|N}} is divisible by 2.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>GeeksforGeeks. (2024). Generation of Programming Languages. Retrieved May 2, 2025, from [https://www.geeksforgeeks.org/generation-programming-languages/](https://www.geeksforgeeks.org/generation-programming-languages/)</div></td>
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MrOllie
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1288946413&oldid=prev
MrRestre11: references
2025-05-05T15:17:38Z
<p>references</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{DISPLAYTITLE:Luhn mod ''N'' algorithm}}</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The '''Luhn mod ''N'' algorithm''' is an extension to the [[Luhn algorithm]] (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered [[Radix|base]]. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of {{Var|N}} characters where {{Var|N}} is divisible by 2.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The '''Luhn mod ''N'' algorithm''' is an extension to the [[Luhn algorithm]] (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered [[Radix|base]]. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of {{Var|N}} characters where {{Var|N}} is divisible by 2.<ins style="font-weight: bold; text-decoration: none;"><ref>GeeksforGeeks. (2024). Generation of Programming Languages. Retrieved May 2, 2025, from [https://www.geeksforgeeks.org/generation-programming-languages/](https://www.geeksforgeeks.org/generation-programming-languages/)</ref></ins></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>GeeksforGeeks. (2024). Generation of Programming Languages. Retrieved May 2, 2025, from [https://www.geeksforgeeks.org/generation-programming-languages/](https://www.geeksforgeeks.org/generation-programming-languages/)</div></td>
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MrRestre11
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1287924155&oldid=prev
Tc14Hd: Updated short description
2025-04-29T08:27:52Z
<p>Updated short description</p>
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Tc14Hd
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1287924074&oldid=prev
Tc14Hd: Added short description
2025-04-29T08:27:02Z
<p>Added short description</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{unreferenced|date=May 2010}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{unreferenced|date=May 2010}}</div></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{DISPLAYTITLE:Luhn mod ''N'' algorithm}}</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{DISPLAYTITLE:Luhn mod ''N'' algorithm}}</div></td>
</tr>
</table>
Tc14Hd
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1287924006&oldid=prev
Tc14Hd: /* Limitation */ Changed capitalization again
2025-04-29T08:26:07Z
<p><span class="autocomment">Limitation: </span> Changed capitalization again</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Previous revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:26, 29 April 2025</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Limitation ==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Limitation ==</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The Luhn mod N algorithm only works where {{var|N}} is divisible by 2. This is because there is an operation to correct the value of a position after doubling its value which does not work where {{var|N}} is not divisible by 2. For applications using the [[English alphabet]] this is not a problem, since a string of lower-case letters has 26 code-points, and adding [[<del style="font-weight: bold; text-decoration: none;">Decimal</del>]] characters adds a further 10, maintaining an {{var|N}} divisible by 2.</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The Luhn mod N algorithm only works where {{var|N}} is divisible by 2. This is because there is an operation to correct the value of a position after doubling its value which does not work where {{var|N}} is not divisible by 2. For applications using the [[English alphabet]] this is not a problem, since a string of lower-case letters has 26 code-points, and adding [[<ins style="font-weight: bold; text-decoration: none;">decimal</ins>]] characters adds a further 10, maintaining an {{var|N}} divisible by 2.</div></td>
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<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Explanation ===</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Explanation ===</div></td>
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</table>
Tc14Hd
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1287923912&oldid=prev
Tc14Hd: /* Limitation */ Changed capitalization
2025-04-29T08:24:56Z
<p><span class="autocomment">Limitation: </span> Changed capitalization</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Previous revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:24, 29 April 2025</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Explanation ===</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Explanation ===</div></td>
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<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The second step in the [[Luhn algorithm]] re-packs the doubled value of a position into the original digit's [[Radix|base]] by adding together the individual digits in the doubled value when written in [[Radix|base]] {{var|N}}. This step results in even numbers if the doubled value is less than or equal to {{var|N}}, and odd numbers if the doubled value is greater than {{var|N}}. For example, in [[<del style="font-weight: bold; text-decoration: none;">Decimal</del>]] applications where {{var|N}} is 10, original values between 0 and 4 result in even numbers and original values between 5 and 9 result in odd numbers, effectively re-packing the doubled values between 0 and 18 into a single distinct result between 0 and 9.</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The second step in the [[Luhn algorithm]] re-packs the doubled value of a position into the original digit's [[Radix|base]] by adding together the individual digits in the doubled value when written in [[Radix|base]] {{var|N}}. This step results in even numbers if the doubled value is less than or equal to {{var|N}}, and odd numbers if the doubled value is greater than {{var|N}}. For example, in [[<ins style="font-weight: bold; text-decoration: none;">decimal</ins>]] applications where {{var|N}} is 10, original values between 0 and 4 result in even numbers and original values between 5 and 9 result in odd numbers, effectively re-packing the doubled values between 0 and 18 into a single distinct result between 0 and 9.</div></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Where an {{var|N}} is used that is not divisible by 2 this step returns even numbers for doubled values greater than {{var|N}} which cannot be distinguished from doubled values less than or equal to {{var|N}}.</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Where an {{var|N}} is used that is not divisible by 2 this step returns even numbers for doubled values greater than {{var|N}} which cannot be distinguished from doubled values less than or equal to {{var|N}}.</div></td>
</tr>
</table>
Tc14Hd
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1283305194&oldid=prev
2.51.57.129: /* Algorithm in JavaScript */
2025-03-31T17:48:05Z
<p><span class="autocomment">Algorithm in JavaScript</span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:48, 31 March 2025</td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></syntaxhighlight></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== <del style="font-weight: bold; text-decoration: none;">[[Algorithmic PC|</del>Algorithm<del style="font-weight: bold; text-decoration: none;">]]</del> in JavaScript ==</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== Algorithm in JavaScript ==</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Assuming the following functions are defined:</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Assuming the following functions are defined:</div></td>
</tr>
</table>
2.51.57.129
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1269308066&oldid=prev
74.37.83.56: Agee downloa
2025-01-14T01:49:38Z
<p>Agee downloa</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 01:49, 14 January 2025</td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></syntaxhighlight></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== Algorithm in JavaScript ==</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== <ins style="font-weight: bold; text-decoration: none;">[[Algorithmic PC|</ins>Algorithm<ins style="font-weight: bold; text-decoration: none;">]]</ins> in JavaScript ==</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Assuming the following functions are defined:</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Assuming the following functions are defined:</div></td>
</tr>
</table>
74.37.83.56
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1253302392&oldid=prev
Frap: Italic n
2024-10-25T08:22:44Z
<p>Italic n</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:22, 25 October 2024</td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{unreferenced|date=May 2010}}</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{DISPLAYTITLE:Luhn mod ''N'' algorithm}}</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The '''Luhn mod ''N'' algorithm''' is an extension to the [[Luhn algorithm]] (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered [[Radix|base]]. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of {{Var|N}} characters where {{Var|N}} is divisible by 2.</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The '''Luhn mod ''N'' algorithm''' is an extension to the [[Luhn algorithm]] (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered [[Radix|base]]. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of {{Var|N}} characters where {{Var|N}} is divisible by 2.</div></td>
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<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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</table>
Frap
https://en.wikipedia.org/w/index.php?title=Luhn_mod_N_algorithm&diff=1185318575&oldid=prev
24.126.63.128: /* Algorithm in C# */
2023-11-15T23:38:08Z
<p><span class="autocomment">Algorithm in C#</span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:38, 15 November 2023</td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> /// <summary></div></td>
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<td class="diff-marker"><a class="mw-diff-movedpara-left" title="Paragraph was moved. Click to jump to new location." href="#movedpara_8_0_rhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_2_0_lhs"></a>int CodePointFromCharacter(char character) <del style="font-weight: bold; text-decoration: none;">{.</del>.<del style="font-weight: bold; text-decoration: none;">.}</del></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> /// This can be any string of characters.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> /// </summary></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> private const string CodePoints = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";</div></td>
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<td class="diff-marker"><a class="mw-diff-movedpara-right" title="Paragraph was moved. Click to jump to old location." href="#movedpara_9_0_lhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_5_0_rhs"></a><ins style="font-weight: bold; text-decoration: none;"> private </ins>int NumberOfValidInputCharacters() <ins style="font-weight: bold; text-decoration: none;">=> CodePoints</ins>.<ins style="font-weight: bold; text-decoration: none;">Length;</ins></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_8_0_rhs"></a><ins style="font-weight: bold; text-decoration: none;"> private </ins>int CodePointFromCharacter(char character) <ins style="font-weight: bold; text-decoration: none;">=> CodePoints</ins>.<ins style="font-weight: bold; text-decoration: none;">IndexOf(character);</ins></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_9_0_lhs"></a>int NumberOfValidInputCharacters() <del style="font-weight: bold; text-decoration: none;">{..</del>.<del style="font-weight: bold; text-decoration: none;">}</del></div></td>
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