Two classes of two-weight linear codes
WebAug 27, 2015 · Abstract: In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authentication codes, association schemes, … WebJul 6, 2024 · Furthermore, two new classes of projective two-weight codes are obtained, and then two new classes of strongly regular graphs are given. Discover the world's research …
Two classes of two-weight linear codes
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WebAug 29, 2024 · Hence, the construction of linear codes with a few weights is an important research topic in coding theory. In this paper, we construct two new classes of linear … WebIn this paper, several classes of two-weight or three-weight linear codes over $$ {{\mathbb {F}}}_p$$ F p from quadratic or non-quadratic functions are constructed and their weight distributions are determined. From the constructed codes, we obtain some optimal linear codes with respect to the Singleton bound and the Griesmer bound.
WebJul 6, 2024 · These codes can be suitable for applications in secret sharing schemes. Furthermore, two new classes of projective two-weight codes are obtained, and then two … WebSep 22, 2024 · The Linear class implements a gradient descent on the cost passed as an ... Code a Gaussian projection function and experiment. Is it better to have a lot of points or few points for ... (handwritten numbers - choosing only two classes among the 10). We observe the value of the weights. - On some examples of 2-class problems (6 vs ...
WebDec 23, 2015 · Recently, linear codes with few weights have been constructed and extensively studied. In this paper, for an odd prime p, we determined the complete weight enumerator of two classes of p-ary linear codes constructed from defining set. Results show that the codes are at almost seven-weight linear codes and they may have applications in … WebAug 18, 2024 · Linear codes have been an interesting topic in both theory and practice for many years. In this paper, two classes of linear codes over the finite field \({\mathrm …
WebMar 1, 2016 · Request PDF Two classes of two-weight linear codes Two-weight linear codes have many wide applications in authentication codes, association schemes, …
WebNov 25, 2024 · Minimal linear codes form a special class of linear codes that have important applications in secret sharing and secure two-party computation. ... Several classes of p-ary linear codes with two or three weights are constructed from quadratic Bent functions over the finite field Fp, where p is an odd prime. Expand. 153. PDF. nil rate band in 1995WebDec 1, 2024 · Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, data storage systems, strongly regular … nil rate band in 1990WebDec 31, 2024 · In this paper, for any odd prime $ p $ and an integer $ m\ge 3 $, several classes of linear codes with $ t $-weight $ (t = 3,5,7) $ are obtained based on some defining sets, and then their complete weight enumerators are determined explicitly by employing Gauss sums and quadratic character sums. Especially for $ m = 3 $, a class of MDS … nil rate band in 2008WebDec 9, 2024 · 12/09/20 - In this paper, based on the theory of defining sets, a class of four-weight or five-weight linear codes over Fp is constructed. Th... 12/09/20 - In this paper, based on the theory of defining sets, ... Weight Distributions of Two Classes of Linear Codes with Five or Six Weights In this paper, ... nil rate band in 2003WebApr 7, 2024 · In this paper, based on the theory of defining sets, two classes of five-weight or six-weight linear codes over Fp are constructed. The weight distributions of the linear … nil rate band iht rulesWebNov 23, 2024 · In this paper, a class of q-ary linear codes with few weights are presented and their weight distributions are determined using Gauss periods. Some of the linear codes obtained are optimal or almost optimal with respect to the Griesmer bound. As s applications, these linear codes can be used to construct secret sharing schemes with … nil rate band in 2005WebDec 1, 2024 · Linear codes with few weights have applications in data storage systems, secret sharing schemes and authentication codes. In this paper, inspired by the butterfly structure [6], [29] and the works of Li, Yue and Fu [21] and Jian, Lin and Feng [19], we introduce a new defining set with the form of the closed butterfly structure and … nil rate band in 2004