Abstract | ||
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In this paper, we give algorithms and methods of construction of self-dual codes over finite fields using orthogonal matrices. Randomization in the orthogonal group, and code extension are the main tools. Some optimal, almost MDS, and MDS self-dual codes over both small and large prime fields are constructed. |
Year | Venue | Field |
---|---|---|
2016 | arXiv: Information Theory | Prime (order theory),Discrete mathematics,Orthogonal matrix,Finite field,Group code,Algebra,Block code,Orthogonal group,Mathematics |
DocType | Volume | Citations |
Journal | abs/1610.07736 | 1 |
PageRank | References | Authors |
0.37 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Minjia Shi | 1 | 2 | 7.25 |
Lin Sok | 2 | 47 | 10.38 |
Patrick Solé | 3 | 636 | 89.68 |