List decoding of Hermitian codes using Gröbner bases-Reference-Cited by-同舟云学术

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List decoding of Hermitian codes using Gröbner bases

Published:2009-12 Issue:12 Volume:44 Page:1662-1675
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Lee Kwankyu,O’Sullivan Michael E.

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference16 articles.

1. A Hensel lifting to replace factorization in list-decoding of algebraic-geometric and Reed–Solomon codes;Augot;IEEE Trans. Inf. Theory,2000

2. Using Algebraic Geometry;Cox,1998

3. Algebraic Curves;Fulton,1969

4. Computing roots of polynomials over function fields of curves;Gao,2000

5. Improved decoding of Reed–Solomon and algebraic-geometry codes;Guruswami;IEEE Trans. Inf. Theory,1999

Cited by 27 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. An Efficient Implementation Scheme for Lattice Reduction in the List-Decoding Algorithm for the Binary Goppa Codes;IEEE Access;2024

2. The Re-encoding Transform in Algebraic List Decoding of Algebraic Geometric Codes;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

3. Fast Decoding of AG Codes;IEEE Transactions on Information Theory;2022-11

4. Algebraic Chase Decoding of Elliptic Codes Through Computing the Gröbner Basis;2022 IEEE International Symposium on Information Theory (ISIT);2022-06-26

5. Algebraic Soft Decoding of Elliptic Codes;IEEE Transactions on Communications;2022-03

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