Fp上一类MDS符号对码的构造
The Construction of a Class of MDS Symbol-Pair Codes over Fp
摘要: 符号对码是一类可以很好地处理在数据读取过程中出现对错误的情况的编码方法。符号对距离是衡量符号对码在符号对读取信道中的纠错能力的一个重要参数指标。在符号对码的长度和维数一定的情况下，MDS符号对码是符号对距离最大的一类最佳符号对码。符号对码的研究的主要内容之一是构造MDS符号对码，特别是构造出符号对距离较大的MDS符号对码。本文分析了重根循环码的符号对距离的刻画方法，并且利用重根循环码构造出参数不同于已知构造且符号对距离较大的一类MDS符号对码。
Abstract: Symbol-pair codes are designed to protect against pair error in data reading. The pair-distance is an important parameter to measure the error correction ability of the symbol pair in the symbol pair reading channel. MDS symbol pair codes are the best symbol pair codes with the largest symbol pair distance when the length and dimension of the symbol pair codes are constant. One of the important problems of symbol-pair codes is to construct MDS symbol-pair codes with a large code length and a large minimum pair-distance. In this paper, we analyze the method of characterizing pair-distance by repeated-root cyclic codes and construct a new class of MDS symbol-pair codes with different parameters and larger symbol pair-distance.
文章引用：李少培, 唐西林. Fp上一类MDS符号对码的构造[J]. 理论数学, 2020, 10(2): 49-54. https://doi.org/10.12677/PM.2020.102009

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