On the Rank Bounded Distance with Conjugate Elements for Cyclic Codes

Junru ZHENG; Takayasu KAIDA

doi:10.1587/transfun.E98.A.2476

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Special Section on Information Theory and Its Applications

On the Rank Bounded Distance with Conjugate Elements for Cyclic Codes

Junru ZHENG, Takayasu KAIDA

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Keywords: defining set, discrete Fourier transform, rank bounded distance, minimum distance, cyclic code

JOURNAL RESTRICTED ACCESS

2015 Volume E98.A Issue 12 Pages 2476-2479

DOI https://doi.org/10.1587/transfun.E98.A.2476

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Abstract

The authors proposed an algorithm for calculation of new lower bound (rank bounded distance) using the discrete Fourier transform in 2010. Afterward, we considered some algorithms to improve the original algorithm with moving the row or column. In this paper, we discuss the calculation method of the rank bounded distance by conjugate elements for cyclic codes.

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