Binary constant weight codes

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. http://neilsloane.com/doc/Me153.pdf

Lower bounds for constant weight codes - IEEE Xplore

WebMar 1, 2024 · The constant A ( n, d, w) is the maximum number of words in an ( n, d, w) binary code, that is, a code of minimal distance d, with words of length n and weight w. We improve the best known lower bounds on A ( n, d, w) for three sets of parameters by using optimization; in particular, we show that A ( 29, 8, 5) ≥ 36, A ( 30, 8, 5) ≥ 41, and ... 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 … grafton taxis number https://aladinsuper.com

On the Construction of Multiply Constant-Weight Codes

WebJan 15, 2024 · Jin L F. Explicit construction of optimal locally recoverable codes of distance 5 and 6 via binary constant weight codes. IEEE Trans Inform Theory, 2024, 65: 4658–4663 Article MathSciNet Google Scholar Prakash N, Kamath G M, Lalitha V, et al. Optimal linear codes with a local-error-correction property. WebA new table of constant weight codes. Abstract: A table of binary constant weight codes of length n >. Published in: IEEE Transactions on Information Theory ( Volume: 36 , … 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 grafton taylor health department

Upper bounds for constant-weight codes - IEEE Xplore

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Binary constant weight codes

Classification of Binary Constant Weight Codes - Semantic Scholar

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 … WebNeil Sloane (home page)

Binary constant weight codes

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WebJul 12, 2010 · Abstract: A binary code C ⊆ F 2 n with minimum distance at least d and codewords of Hamming weight w is called an (n, d, w) constant weight code. The …

WebDec 10, 1991 · On the maximum cardinality of binary constant weight codes with prescribed distance, Discrete Mathematics 97 (1991) 155-160. Let A (n, d, w) be the maximum cardinality of a binary code with length n, constant weight w (0 -- w = [n/2] ) and Hamming distance d. WebRECOVERABLE CODES OF DISTANCE 5 AND 6 VIA BINARY CONSTANT WEIGHT CODES LINGFEI JIN Abstract. It was shown in [7] that the length n of a q-ary linear locally recoverable code with distance d> 5 is upper bounded by O(dq3). Thus, it is a challenging problem to construct q-ary locally recoverable codes with distance d> 5 and length …

WebAbstract: Let A (n,2\delta,w) denote the maximum number of codewords in any binary code of length n , constant weight w , and Hamming distance 2\delta Several lower bounds for A (n,2\delta,w) are given. For w and \delta fixed, A (n,2\delta,w) \geq n^ {W-\delta+l}/w! and A (n,4,w)\sim n^ {w-l}/w! as n \rightarrow \infty . In most cases these are ... WebOn the constructions of constant-weight codes Abstract: Two methods of constructing binary constant-weight codes from (1) codes over GF (q) and (2) constant-weight codes over GF (q) are presented. Several classes of binary optimum constant-weight codes are derived from these methods.

WebAug 1, 2010 · A binary code C ⊆ F 2 n with minimum distance at least d and codewords of Hamming weight w is called an (n , d , w ) constant weight code. The maximum size of …

http://neilsloane.com/doc/conwt.pdf china eastern airlines corporation ltdWebAug 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. china eastern airlines e ticketWebJul 30, 2024 · The Hamming weight of a codeword c is the number of its non-zero entries. Let A(n, d) be the size of the maximum binary code set of length n and minimum Hamming distance d⁠, and A(n, d, w) be the size of the maximum binary code with length n⁠, constant weight w and minimum Hamming distance d⁠. china eastern airlines crash ntsbWebJul 1, 2024 · In particular new binary constant weight codes A ( 64, 10, 8) ≥ 4112 and A ( 64, 12, 8) ≥ 522 are constructed. We also give explicitly constructed binary constant … grafton technologies inc grafton ilWebSep 11, 2024 · Since CWACs can be viewed as a generalization of both binary constant-weight codes and nonrestricted Hamming metric codes, CWACs thus provide an additional degree of freedom to both problems of determining the maximum cardinality of constant-weight codes and nonrestricted Hamming metric codes. We then investigate their … grafton technologies inc. jerseyville ilWebA 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 … grafton techniques for tennis elbowWebSep 11, 2024 · Since CWACs can be viewed as a generalization of both binary constant-weight codes and nonrestricted Hamming metric codes, CWACs thus provide an … grafton technologies bill pay