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The symbol-pair distance distribution of a class of repeated-root cyclic codes over Fpm$\phantom {\dot {i}\!}\mathbb {F}_{p^{m}}$

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Symbol-pair codes are proposed to protect against pair errors in symbol-pair read channel. One main task in symbol-pair coding theory is to determine the minimum pair-distance of symbol-pair codes. In… Click to show full abstract

Symbol-pair codes are proposed to protect against pair errors in symbol-pair read channel. One main task in symbol-pair coding theory is to determine the minimum pair-distance of symbol-pair codes. In this paper, we investigate the symbol-pair distance of cyclic codes of length pe over Fpm$\phantom {\dot {i}\!}\mathbb {F}_{p^{m}}$. The exact symbol-pair distance of all cyclic codes of such length is determined.

Keywords: symbol pair; pair distance; pair; cyclic codes

Journal Title: Cryptography and Communications
Year Published: 2017

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