논문KCI 등재
Complete weight enumerators of some classes of linear codes with a few weights
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초록
By choosing defining set properly, several classes of linear codes with a few weights over the finite field $\mathbb{F}_{p}$ are constructed for an odd prime $p$, and the complete weight enumerators of these classes of codes are determined.
Abstract
By choosing defining set properly, several classes of linear codes with a few weights over the finite field $\mathbb{F}_{p}$ are constructed for an odd prime $p$, and the complete weight enumerators of these classes of codes are determined.
참고문헌 (11)
- J. Ahn, "Complete weight enumerators of a class of linear codes", Des. Codes Cryptogr., 83(1), pp.83~99 (2017)[DOI]
- I. F. Blake, "On the complete weight enumerator of Reed-Solomon codes", SIAM J. Discrete Math., 4(2), pp.164~171 (1991)[DOI]
- C. Ding, "Linear codes from some 2-designs", IEEE Trans. Inform. Theory, 61(6), pp.3265~3275 (2015)[DOI]
- C. Ding, "A generic construction of Cartesian authentication codes", IEEE Trans. Inform. Theory, 53(6), pp.2229~2235 (2007)[DOI]
- K. Ding, "A class of two-weight and three-weight codes and their applications in secret sharing", IEEE Trans. Inform. Theory, 61(11), pp.5835~5842 (2015)[DOI]
- W. C. Huffman, "Fundamentals of Error-Correcting Codes" (2003), Cambridge University Press
- C. Li, "Weight distributions of two classes of cyclic codes with respect to two distinct order elements", IEEE Trans. Inform. Theory, 60(1), pp.296~303 (2014)[DOI]
- R. Lidl, "Finite Fields, second edition, Encyclopedia of Mathematics and its Applications, 20" (1997), Cambridge University Press
- C. Tang, "Linear codes with two or three weights from weakly regular bent functions", IEEE Trans. Inform. Theory, 62(3), pp.1166~1176 (2016)[DOI]
- C. Tang, "Two-weight and three-weight linear codes from square functions", Communications Letters, 20(1), pp.29~32 (2016)[DOI]
- S. Yang, "Complete weight enumerators of a family of three-weight linear codes", Des. Codes Cryptogr., 82(3), pp.663~674 (2017)[DOI]
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