Binary constant weight codes
WebApr 9, 2010 · This paper proposes a quantum search algorithm for binary constant weight codes that is capable of reducing the number of required qubits, thus enhancing the feasibility and the proposed approach may be useful for other quantum search algorithms and optimization problems. PDF http://neilsloane.com/doc/Me153.pdf
Binary constant weight codes
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http://neilsloane.com/doc/conwt.pdf WebJan 30, 2024 · An (n,d,w)_ {q} code denotes a q -ary code of length n, constant weight w and Hamming distance at least d for any two distinct codewords. The (n,d,w)_ {q} codes are known as constant-weight codes, briefly CWCs. …
WebA formula for the order of the automorphism group of a binary linear constant weight code in terms of its parameters is presented, which is a key step to determine more algebraic structures on constant weight codes with given parameters. We give a characterization for the binary linear constant weight codes by using the symmetric difference of the … WebLet A(n,d,w) denote the maximum possible number of codewords in an (n,d,w) constant-weight binary code. We improve upon the best known upper bounds on A(n,d,w) in numerous instances for n/spl les/24 and d/spl les/12, which is the parameter range of existing tables. Most improvements occur for d=8, 10, where we reduce the upper …
WebA binary code represents text, computer processor instructions, ... The weight of a binary code, as defined in the table of constant-weight codes, is the Hamming weight of the binary words coding for the represented … WebAug 20, 2024 · Classification of Optimal (v, 4,1) Binary Cyclically Permutable Constant-Weight Codes and Cyclic 2-(v, 4,1) Designs with v 76 [J]. T. Baicheva, S. Topalova Problems of information transmission . 2011,第3期
WebA two-out-of-five code is a constant-weight code that provides exactly ten possible combinations of two bits, and is thus used for representing the decimal digits using five …
WebNov 4, 2024 · The code-anticode bound was proved by Delsarte for distance-regular graphs and it holds for some other metrics too. In this paper we prove the bound for non-binary constant-weight codes with the Hamming metric and characterize the diameter perfect codes and the maximum size anticodes for these codes. trottnow aßmann woldegkWebWe consider the problem of encoding and decoding binary codes of constant Hamming weight w and block length n. Such codes are useful in a variety of applications: a few examples are fault-tolerant circuit design and computing [15], pattern generation for circuit testing [24], identification cod- trottithlonWebOct 8, 2024 · We describe a binary (17,4,5) constant weight code with 444 codewords, thus improving the lower bound for A (17,4,5) from 441 to 444. The code was discovered by a computer search implementing a new stochastic local search algorithm for the maximum independent set problem. trotto and turfWebAug 1, 2024 · A binary code C ⊆ F2 n with minimum distance at least d and codewords of Hamming weight w is called an (n , d , w ) constant weight code. trottner\u0027s auto repair serviceWebA binary constant weight code of length n is a subset C ⊂ Fn 2 such that every codeword of C has the same Hamming weight. Let n,d,w bepositiveintegers.Byan(n,d,w)2 … trottner\u0027s auto repair bellingham waWebOct 8, 2024 · We describe a binary (17,4,5) constant weight code with 444 codewords, thus improving the lower bound for A(17,4,5) from 441 to 444. The code was discovered … trottoweb.comWebA formula for the order of the automorphism group of a binary linear constant weight code in terms of its parameters is presented, which is a key step to determine more algebraic … trottle syndicate