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- W2971705356 abstract "Cyclic codes are an interesting type of linear codes and have wide applications in communication and storage systems due to their efficient encoding and decoding algorithms. The objective of this paper is to investigate the parameters of some q-ary cyclic codes of length n=q2m−1q+1. The dimensions of these codes are settled and the lower bounds on their minimum distances are presented by employing the Hartmann-Tzeng bound or BCH bound. Moreover, when q=2,3, we give the largest coset leaders δ1 modulo n and investigate the parameters of the BCH codes C(q,n,δ1,1)." @default.
- W2971705356 created "2019-09-12" @default.
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- W2971705356 date "2019-11-01" @default.
- W2971705356 modified "2023-10-18" @default.
- W2971705356 title "On some cyclic codes of length <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo linebreak=badbreak linebreakstyle=after>−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>q</mml:mi><mml:mo linebreak=badbreak linebreakstyle=after>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:math>" @default.
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- W2971705356 doi "https://doi.org/10.1016/j.ffa.2019.101581" @default.
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