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Problemy Peredachi Informatsii, 1999, Volume 35, Issue 3, Pages 3–17
(Mi ppi449)
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Coding Theory
Generalized Spectra of Binary BCH Codes
I. Zhang
Abstract:
Generalized weight spectra of binary linear codes are studied. An analog of the MacWilliams identities relating generalized spectra of a linear binary code and its dual code is established. Asymptotic ($n\to\infty$) expressions for elements of the $r$-spectrum of a $t$-error-correcting binary BCH code of length $n=2^m-1$ are obtained under some restrictions on $t$. This spectrum is computed in the particular case where $r=2$, $t=2$ and $m$ is odd.
Received: 27.04.1998 Revised: 11.03.1999
Citation:
I. Zhang, “Generalized Spectra of Binary BCH Codes”, Probl. Peredachi Inf., 35:3 (1999), 3–17; Problems Inform. Transmission, 35:4 (1999), 191–204
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https://www.mathnet.ru/eng/ppi449 https://www.mathnet.ru/eng/ppi/v35/i3/p3
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Abstract page: | 330 | Full-text PDF : | 191 | References: | 40 | First page: | 1 |
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