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Minimal Linear Codes Constructed from Functions

2019/11/25 by Xia Wu, Wei Lu, Wu, Xia +3
Computer Science · Engineering · #Coding theory and cryptography #graph theory and CDMA systems #Cooperative Communication and Network Coding

paper · pdf · doi:10.48550/arxiv.1911.11632

Abstract

In this paper, we consider minimal linear codes in a general construction of linear codes from q-ary functions. First, we give the sufficient and necessary condition for codewords to be minimal. Second, as an application, we present four constructions of minimal linear codes which contained some recent results as special cases.

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