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An octad and a dodecad intersect at 2, 4, or 6 coordinates. Up to relabeling coordinates, W is unique. The binary Golay code, G23 is a perfect code. That is, the spheres of radius three around code words form a partition of the vector space. G23 is a 12-dimensional subspace of the space F23.
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.
High Capacity Color Barcode (HCCB) is a technology developed by Microsoft for encoding data in a 2D "barcode" using clusters of colored triangles instead of the square pixels conventionally associated with 2D barcodes or QR codes.
Generator polynomials are G 1 = (1,1,1), G 2 = (0,1,1), and G 3 = (1,0,1). Therefore, output bits are calculated (modulo 2) as follows: n 1 = m 1 + m 0 + m −1 n 2 = m 0 + m −1 n 3 = m 1 + m −1. Convolutional codes can be systematic and non-systematic: systematic repeats the structure of the message before encoding; non-systematic changes ...
Reed–Muller codes generalize the Reed–Solomon codes and the Walsh–Hadamard code. Reed–Muller codes are linear block codes that are locally testable, locally decodable, and list decodable. These properties make them particularly useful in the design of probabilistically checkable proofs .
A pseudo-noise code (PN code) or pseudo-random-noise code (PRN code) is one that has a spectrum similar to a random sequence of bits but is deterministically generated. The most commonly used sequences in direct-sequence spread spectrum systems are maximal length sequences , Gold codes , Kasami codes , and Barker codes .