Abstract | ||
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In this paper we treat cyclotomic binary duadic codes. The conjecture of Ding and Pless is that there are infinitely many cyclotomic duadic codes of prime lengths that are not quadratic residue codes. We shall prove this conjecture by using the special case of Tschebotareff's density theorem. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1016/j.ffa.2009.11.003 | Finite Fields and Their Applications |
Keywords | Field | DocType |
special case,density theorem,quadratic residue code,cyclotomic duadic code,cyclotomic binary duadic code,prime length | Prime (order theory),Discrete mathematics,Combinatorics,Quadratic residue,Algebra,Conjecture,Mathematics,Binary number,Special case | Journal |
Volume | Issue | ISSN |
16 | 1 | 1071-5797 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hideki Tada | 1 | 0 | 0.34 |
Shigeto Nishimura | 2 | 1 | 0.99 |
Toyokazu Hiramatsu | 3 | 1 | 0.72 |