WebJul 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 … 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 …
Did you know?
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 … 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 …
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 … 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
WebWe 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- WebA ( n, M, d) code C over F q is a constant weight code provided every codeword was the same weight w. Furthermore, A q ( n, d, w) denotes the maximum number of codewords in a constant weight ( n, M) code over F q of length n and minimum distance at least d whose codewords have weight w.
WebOct 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.
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. diamagnetic sand moonlighterWebA general theorem is proved showing how to obtain a constant-weight binary cyclic code from a p-ary linear cyclic code, where p is a prime, by using a representation of GF(p) as … diamagnetic in ground stateWebAug 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 diamagnetic sheetsWebAbstract: 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 ... diamagnetic meaning in chemistryWebAug 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 … diamagnetic floating frogWebAug 4, 2024 · Multiply constant-weight codes (MCWCs) were introduced recently to improve the reliability of certain physically unclonable function response. In this paper, two methods of constructing MCWCs... diamagnetic therapyWebRECOVERABLE 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 … diamagnetic induction