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Rectangular Micro QR Code (also known as rMQR Code) is two-dimensional (2D) matrix barcode invented and standardized in 2022 by Denso Wave as ISO/IEC 23941. [2] rMQR Code is designed as a rectangular variation of QR code and has the same parameters and applications as original QR code.
EPC QR code. The European Payments Council Quick Response Code guidelines define the content of a QR code that can be used to initiate SEPA credit transfer (SCT). It contains all the necessary information in clear text. These QR code guidelines are used on many invoices and payment requests in the countries that support it (Austria, Belgium ...
Its generator polynomial as a cyclic code is given by. where is the set of quadratic residues of in the set and is a primitive th root of unity in some finite extension field of . The condition that is a quadratic residue of ensures that the coefficients of lie in . The dimension of the code is . Replacing by another primitive -th root of unity ...
The Aztec Code is a matrix code invented by Andrew Longacre, Jr. and Robert Hussey in 1995. [1] The code was published by AIM, Inc. in 1997. Although the Aztec Code was patented, that patent was officially made public domain. [2] The Aztec Code is also published as ISO/IEC 24778:2008 standard.
The BCH code with and higher has the generator polynomial. This code has minimal Hamming distance 15 and corrects 7 errors. It has 1 data bit and 14 checksum bits. It is also denoted as: (15, 1) BCH code. In fact, this code has only two codewords: 000000000000000 and 111111111111111 (a trivial repetition code ).
The first element of a CIRC decoder is a relatively weak inner (32,28) Reed–Solomon code, shortened from a (255,251) code with 8-bit symbols. This code can correct up to 2 byte errors per 32-byte block. More importantly, it flags as erasures any uncorrectable blocks, i.e., blocks with more than 2 byte errors.
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