Generalized hamming weights for linear codes

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WebMar 1, 2024 · The generalized Hamming weights of a linear code are fundamental code parameters related to the minimal overlap structures of the subcodes. They were introduced by V.K. Wei (1991) and shown to ... WebFeb 6, 2016 · In this paper we analyze the behavior of the generalized Hamming …

Generalized Hamming weights of affine Cartesian codes

WebMar 6, 2012 · This paper characterizes secret sharing schemes based on arbitrary linear codes by using the relative dimension/length pro- file (RDLP) and the relative generalized Hamming weight (RGHW) and defines the α-strong security as the one such that the mutual information of any r elements and any α −r+ 1s hares is always zero. SUMMARY … WebGeneralized Deep 3D Shape Prior via Part-Discretized Diffusion Process Yuhan Li · Yishun Dou · Xuanhong Chen · Bingbing Ni · Yilin Sun · Yutian Liu · Fuzhen Wang Consistent View Synthesis with Pose-Guided Diffusion Models fidelity charitable fund login

1 arXiv:2203.17194v1 [cs.IT] 31 Mar 2024

WebApr 29, 2024 · This work aims to algebraically describe the relative generalized … http://www.uprh.edu/~simu/Reports2001/NOU.pdf WebMar 21, 2024 · In his paper [], Wei has introduced new parameters for linear block codes to characterize the performance of linear codes when such codes are used on the wiretap channel of type II.These parameters, called the Generalized Hamming Weights, were already studied earlier in [] in a different context.Later, Cai and Yeung introduced in [] an … grey cashmere beret

On generalized Hamming weights of BCH codes Semantic …

Generalized hamming weights of linear codes from …

WebJun 24, 1991 · The generalized Hamming weights of a linear code are fundamental code parameters related to the minimal overlap structures of the subcodes. They were introduced by V.K. Wei (1991) and shown to characterize the performance of the linear code in certain cryptographical applications. WebJul 1, 2024 · The r th relative generalised Hamming weight (RGHW) of an linear code C and an subcode , a generalisation of generalised Hamming weight (GHW), characterises code performances of wiretap channel of type II, secure network coding, linear ramp secret sharing scheme, trellis complexity etc. grey carving pads grey car white rims

"WebApr 18, 2024 · Our approach is based on the observation that the generalized Hamming weights and the dimension/length profiles of a linear code form a Galois connection. The central result of this paper is a general Wei-type duality theorem for two Galois connections between finite subsets of , from which all the known Wei-type duality theorems can be … " - Generalized hamming weights for linear codes

Generalized hamming weights for linear codes

How Hamming Weights are used part2(Programming)

WebAug 23, 2024 · There are many applications of relative generalized Hamming weights, as referred to in [12, 15], for pairs of linear codes. In addition, relating to secret sharing schemes, which is a particularly natural topic, when working with almost affine codes, we would like to mention the significance of relative generalized Hamming weights … WebJun 2, 2024 · Relative generalized Hamming weights (RGHWs) were first introduced with respect to a code pair by Luo et al. [], and RGHWs can be viewed as a generalization of generalized Hamming weights (GHWs) [].In 2005, Luo et al. [] considered the wire-tap channel of type II with two users.They assumed the channel with an adversary was …

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Web9.Generalized Hamming Weights for [n,2] linear codes over F_q关于q元[n,2]线性码的广义汉明重量谱 10.The Wangma Computer Company was named for the Wubi font, the coding method of Chinese characters invented by the famous computer expert - Yongmin Wang.王码电脑公司是由著名电脑专家王永民发明的汉字编码法 ... WebJul 1, 2001 · In 1991, Feng, Tzeng, and Wei proved that the second generalized …

WebMay 1, 2024 · The generalized Hamming weights of a linear code have been extensively … WebThe generalized Hamming weights of linear codes have attracted scholars' attention since Wei used them to characterize the cryptography performance of a linear code over the wire-tap channel of type II in 1991. Generally speaking, it is hard to determine linear codes' generalized Hamming weights, especially the weight hierarchy. ...

WebJul 1, 2024 · The rth relative generalised Hamming weight (RGHW) of an linear code C … WebMar 31, 2024 · We prove that the first and second generalized Hamming weight of a …

WebMotivated by cryptographical applications, the algebraic structure, of linear codes from a new perspective is studied. By viewing the minimum Hamming weight as a certain minimum property of one-dimensional subcodes, a generalized notion of higher-dimensional Hamming weights is obtained. These weights characterize the code …

WebMay 1, 2024 · In this section we completely determine the generalized Hamming weights of affine Cartesian codes. For the ease of the reader, we recall the definition of generalized Hamming weights of linear codes. Definition 5.3. Let D ⊆ F q N be a subspace of dimension r. The support of D is defined to be Supp (D): = {i: there exists (c 1, …, c N) ∈ … grey car white wheelsWebOct 9, 2024 · The generalized Hamming weights (GHWs) of a linear code are … grey car with bronze wheelsWebJun 17, 2015 · Generalized Hamming Weights of Irreducible Cyclic Codes Abstract: The generalized Hamming weights d r (C) of a linear code C are a natural generalization of the minimum Hamming distance d (C) [=d 1 (C)] and have become an important research object in coding theory since Wei's originary work in 1991. fidelity charitable gift foundation