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Matrix code

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A Matrix code, also known as a 2D barcode, is a 2-dimensional way of representing information, similar to a linear (1-dimenaional) barcode, but with considerably more data representation capability.

Some Examples (blatantly copied from the barcode article:

SymbologyNotes
3-DIDeveloped by Lynn Ltd.
ArrayTagFrom ArrayTech Systems.
Aztec CodePublic domain.
Small Aztec Code 
BullseyeThis was the barcode tested in a Kroger store in Cincinnati. It used concentric bars.
CodablockStacked 1D barcodes.
Code 1Public domain.
Code 16KBased on 1D Code 128.
Code 49Stacked 1D barcodes from Intermec Corp.
CP CodeFrom CP Tron, Inc.
Data GlyphsFrom Xerox PARC.
Data MatrixFrom RVSI Acuity CiMatrix.
Datastrip CodeFrom Datastrip, Inc.
Dot Code A 
HueCodeFrom Robot Design Associates. Uses greyscale or colour.
INTACTA.CODEFrom INTACTA Technologies, Inc.
MaxiCodeUsed by United Parcel Service.
MiniCodeFrom Omniplanar, Inc.
PDF417The most common 2D barcode. Public domain.
Micro PDF417 
QR CodeFrom Nippondenso ID Systems. Public domain.
SmartCodeFrom InfoImaging Technologies.
Snowflake CodeFrom Marconi Data Systems, Inc.
SuperCodePublic domain.
UltraCodeBlack-and-white & colour versions. Public domain.