Suchergebnisse - weight function of a linear code

Subfield Codes of Several Few-Weight Linear Codes Parameterized by Functions and Their Consequences von Xu, Li, Fan, Cuiling, Mesnager, Sihem, Luo, Rong, Yan, Haode

“… Subfield codes of linear codes over finite fields have recently received much attention since they can produce optimal codes, which may have applications in secret sharing, authentication codes and association schemes …”
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Two-Weight and Three-Weight Linear Codes From Square Functions von Tang, Chunming, Qi, Yanfeng, Huang, Dongmei

“… This letter generalizes the construction of linear codes, uses more flexible construction method, and presents linear codes with few weights …”
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Weight hierarchies of a class of three-weight p-ary linear codes from inhomogeneous quadratic functions: Weight hierarchies of a class of three-weight von Hu, Shupeng, Li, Fei, Li, Xiumei

“… The weight hierarchy of a linear code have been an important research topic in coding theory …”
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Weight hierarchies of a class of three-weight p-ary linear codes from inhomogeneous quadratic functions von Hu, Shupeng, Li, Fei, Li, Xiumei

“… The weight hierarchy of a linear code have been an important research topic in coding theory …”
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Infinite Families of Few Weight Optimal Binary Linear Codes From Multivariable Functions von Yoon Hyun, Jong, Jeong, Jihye, Lee, Yoonjin

“… We study the binary linear code families associated with certain types of multivariable functions …”
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Constructing optimal few weight quaternary linear codes via multivariable functions von Hyun, Jong Yoon, Jeong, Jihye, Lee, Yoonjin

“… Furthermore, we completely determine the Lee weight distributions of our shortened codes. To achieve our goal, we use certain families of multivariable functions …”
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Several Classes of Minimal Linear Codes With Few Weights From Weakly Regular Plateaued Functions von Mesnager, Sihem, Sinak, Ahmet

“… ] to weakly regular plateaued functions over finite fields of odd characteristic. We first construct three-weight linear codes from weakly regular plateaued functions …”
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Two or Three Weight Linear Codes From Non-Weakly Regular Bent Functions von Ozbudak, Ferruh, Pelen, Rumi Melih

“… " The goal of this paper is to construct linear codes with two or three weights from non-weakly regular bent functions over finite fields and analyze the minimality of the constructed …”
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Linear Codes With Two or Three Weights From Weakly Regular Bent Functions von Tang, Chunming, Li, Nian, Qi, Yanfeng, Zhou, Zhengchun, Helleseth, Tor

“… to general weakly regular bent functions and determines the weight distributions of these linear codes …”
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Binary Linear Codes With Few Weights From Two-to-One Functions von Li, Kangquan, Li, Chunlei, Helleseth, Tor, Qu, Longjiang

“… of the Walsh transforms of those functions or their variants, we present many classes of linear codes with few nonzero weights, including one weight, three weights, four weights, and five weights …”
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Linear codes with few weights from inhomogeneous quadratic functions von Tang, Chunming, Xiang, Can, Feng, Keqin

“… In this paper, linear codes with few weights are constructed from inhomogeneous quadratic functions over the finite field GF ( p …”
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Linear codes with few weights from vectorial dual-bent functions von Wang, Zhicheng, Wang, Qiang, Yang, Shudi

“… In this paper, we present linear codes from vectorial dual-bent functions and permutation polynomials, such that their parameters and weight distributions can be explicitly determined …”
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Binary linear codes with few weights from Boolean functions von Wang, Xiaoqiang, Zheng, Dabin, Zhang, Yan

“… First, two families of binary linear codes with at most three or four weights from Boolean functions with at most three Walsh transform values are constructed and the parameters of their duals are also determined …”
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Linear codes with two or three weights from quadratic Bent functions von Zhou, Zhengchun, Li, Nian, Fan, Cuiling, Helleseth, Tor

“… In this paper, several classes of p -ary linear codes with two or three weights are constructed from quadratic Bent functions over the finite field F p , where p is an odd prime …”
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The Weight Distributions of Two Classes of Linear Codes From Perfect Nonlinear Functions von Wu, Huawei, Yang, Jing, Feng, Keqin

“… }_{p^{m}} </tex-math></inline-formula> to <inline-formula> <tex-math notation="LaTeX">\mathbb {F}_{p} </tex-math></inline-formula> to give a unified approach to determining the weight distributions of two classes of linear codes …”
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Linear codes from weakly regular plateaued functions and their secret sharing schemes von Mesnager, Sihem, Özbudak, Ferruh, Sınak, Ahmet

“… The main objectives of this paper are twofold: to construct three-weight linear codes from plateaued functions over finite fields, and to analyze the constructed linear codes for secret sharing schemes …”
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Several families of binary minimal linear codes from two-to-one functions von Mesnager, Sihem, Qian, Liqin, Cao, Xiwang, Yuan, Mu

“… Qu have recently identified in [Binary linear codes with few weights from two-to-one functions, IEEE Trans. Inf. Theory, 2021 …”
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Binary linear codes from vectorial boolean functions and their weight distribution von Tang, Deng, Carlet, Claude, Zhou, Zhengchun

“… First, by employing perfect nonlinear functions and almost bent functions, we obtain several classes of six-weight linear codes which contain the all-one codeword, and determine their weight distribution …”
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Linear codes with few weights from weakly regular bent functions based on a generic construction von Mesnager, Sihem

“… We contribute to the knowledge of linear codes with few weights from special polynomials and functions …”
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Several classes of minimal linear codes with few weights from weakly regular plateaued function von Mesnager, Sihem, Sinak, A.

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