The concatenated structure of quasi-abelian codes

نویسندگان

چکیده

The decomposition of a quasi-abelian code into shorter linear codes over larger alphabets was given in Jitman and Ling (Des Codes Cryptogr 74:511–531, 2015), extending the analogous Chinese remainder quasi-cyclic (Ling Solé IEEE Trans Inf Theory 47:2751–2760, 2001). We give concatenated show, as case, that two decompositions are equivalent. allows us to general minimum distance bound for construct some optimal codes. Moreover, we show by examples is sharp cases. In addition, large strictly about half rate given. structure also enables conclude complementary dual any finite field asymptotically good.

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ژورنال

عنوان ژورنال: Designs, Codes and Cryptography

سال: 2021

ISSN: ['0925-1022', '1573-7586']

DOI: https://doi.org/10.1007/s10623-021-00921-4