Bounding minimum distances of cyclic codes using algebraic geometry

Author:

Boston Nigel

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference8 articles.

1. Primes of the form x2 + ny2. Fermat, class field theory and complex multiplication;Cox,1989

2. Algorithms for modular elliptic curves;Cremona,1997

3. Generalizations of the BCH bound;Hartmann;Inform and Control,1972

4. R. Hartshorne, Algebraic geometry (Graduate Texts in Mathematics, No. 52. Springer-Verlag, New York-Heidelberg, 1977).

5. On the minimum distance of cyclic codes;van Lint;IEEE Trans. Inform. Theory,1986

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hartmann–Tzeng bound and skew cyclic codes of designed Hamming distance;Finite Fields and Their Applications;2018-03

2. On some bounds on the minimum distance of cyclic codes over finite fields;Designs, Codes and Cryptography;2014-03-13

3. Cyclic codes from cyclotomic sequences of order four;Finite Fields and Their Applications;2013-09

4. Decoding Cyclic Codes up to a New Bound on the Minimum Distance;IEEE Transactions on Information Theory;2012-06

5. On Relationship between the Boston Bound and Well-Known Bounds for Cyclic Codes;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2009

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