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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 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 ).
Generator (mathematics) The 5th roots of unity in the complex plane under multiplication form a group of order 5. Each non-identity element by itself is a generator for the whole group. In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that ...
An expansion of the 400 Bad Request response code, used when a client certificate is required but not provided. 497 HTTP Request Sent to HTTPS Port. An expansion of the 400 Bad Request response code, used when the client has made a HTTP request to a port listening for HTTPS requests. 499 Client Closed Request.
2-letter codes used by the United States Coast Guard (bold red text shows differences between ANSI and USCG) Abbreviations: GPO. Older variable-length official US Government Printing Office abbreviations. AP. Abbreviations from the AP Stylebook (bold red text shows differences between GPO and AP) Name and status of region. ISO.
See the ISO 3166-3 standard for former country codes. British Virgin Islands – See Virgin Islands (British) . Burma – See Myanmar . Cape Verde – See Cabo Verde . Caribbean Netherlands – See Bonaire, Sint Eustatius and Saba . China, The Republic of – See Taiwan (Province of China) . Democratic People's Republic of Korea – See Korea ...
ISO 3166-1 ( Codes for the representation of names of countries and their subdivisions – Part 1: Country codes) is a standard defining codes for the names of countries, dependent territories, and special areas of geographical interest. It is the first part of the ISO 3166 standard published by the International Organization for Standardization .
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 . Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings.