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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.
A linear code of length n and dimension k is a linear subspace C with dimension k of the vector space where is the finite field with q elements. Such a code is called a q -ary code. If q = 2 or q = 3, the code is described as a binary code, or a ternary code respectively. The vectors in C are called codewords.
The binary Golay code, G 23 is a perfect code. That is, the spheres of radius three around code words form a partition of the vector space. G 23 is a 12-dimensional subspace of the space F 23 2. The automorphism group of the perfect binary Golay code G 23 (meaning the subgroup of the group S 23 of permutations of the coordinates of F 23
full semantic analysis of source code, including parameter types, conditional compilation directives, macro expansions Javadoc: JSDoc: Yes JsDoc Toolkit: Yes mkd: Customisable for all type of comments 'as-is' in comments all general documentation; references, manual, organigrams, ... Including the binary codes included in the comments. all ...
Morse code. Morse code is a method used in telecommunication to encode text characters as standardized sequences of two different signal durations, called dots and dashes, or dits and dahs. [3] [4] Morse code is named after Samuel Morse, one of the early developers of the system adopted for electrical telegraphy .
"The Code" is a song by Swiss singer Nemo, released on 29 February 2024. It has been described by Nemo as a song that details their experience with coming to terms with their non-binary identity. They represented Switzerland in the Eurovision Song Contest 2024 with the song, where they won the contest with 591 points.
In mathematical terms, Hamming codes are a class of binary linear code. For each integer r ≥ 2 there is a code-word with block length n = 2r − 1 and message length k = 2r − r − 1. Hence the rate of Hamming codes is R = k / n = 1 − r / (2r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal ...
Microsoft Bing, commonly referred to as Bing, is a search engine owned and operated by Microsoft. The service traces its roots back to Microsoft's earlier search engines, including MSN Search, Windows Live Search, and Live Search. Bing offers a broad spectrum of search services, encompassing web, video, image, and map search products, all ...
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