Generalized hamming weights for linear codes
Webweight of a codeword is the number of nonzero entries in the word; the weights of the … 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) ∈ …
Generalized hamming weights for linear codes
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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. 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. ...
WebSep 5, 2024 · The Generalized Hamming Weights (GHW) of a code C, identify for each dimension ν, the smallest size of the support of a subcode of C of dimension ν. The GHW of a code are of interest in... WebOct 9, 2024 · The generalized Hamming weights (GHWs) of a linear code are …
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 …
WebFreeResolutions and Generalized Hamming Weights of binary linear codes ⋆ I. Garc´ıa …
WebDec 30, 2016 · The generalized Hamming weights of a linear code have been … ship toastWebAug 1, 1997 · The definition of generalized Hamming weights (GHW) for linear codes … ship to australia from usa cheapWebSep 1, 1993 · The authors derive several results on expressing the generalized Hamming weights of a product code in terms of those of its component codes and formulate a general conjecture. The rth generalized Hamming weight of a linear code is the minimum support size of any r-dimensional subcode. It has been found useful in the studies of … ship to australia uspsWebJul 15, 2024 · It is proved that the direct generalization of the GM-MDS conjecture for -MDS codes and algebraic geometry codes is not true over arbitrary fields. We propose and prove a GHW-based sufficient condition for support constrained matrices of general linear codes. ship toaster memeWebMar 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 … ship to australia fedexWebThe rth generalized Hamming weight of a linear code is the minimum support size of … ship to australia from usWebJul 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. ship toast haggis