Binary constant weight codes
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 … 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.
Binary constant weight codes
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WebSep 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 … 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 …
WebAn upper bound on the size of t-intersecting binary constant weight code with weight w was given in [6, 7]. If the size of such code is greater than (w − t)2 +(w − t) +1 then the code is a sunflower. This bound is attained when t = 1, w = q +1, where q is a prime power and the codewords are the WebMay 15, 2003 · Let dH ( a, b) denote the Hamming distance between the vectors a and b, and wH ( a) denote the Hamming weight of the vector a. Let Vn,w ( q) be the set of n -tuples over Zq of Hamming weight w. A code is called constant weight if all the code words have the same weight.
WebJul 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. 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
WebThis chapter is concerned with the existence and constructions of binary perfect constant-weight codes. These codes are related to the Johnson scheme. It is conjectured that … diabetic shoes bossier city laWebOn 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. diabetic shoes canoga parkdiabetic shoes calendar yearWebConstructions of binary constant-weight cyclic codes and cyclically permutable codes. download . FREE Custom List . KOL stands for Key Opinion Leader. Therapeutic areas. ... Codes for special purposes. Certain infectious and parasitic diseases. Neoplasms. Endocrine, nutritional and metabolic diseases. cinema coffee table bookWebSep 1, 2010 · 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. The … cinema coffee table bookshttp://neilsloane.com/doc/Me153.pdf diabetic shoes cambridge mnWebAbstract: 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 ... diabetic shoes by new balance