Name
Abstract | ||
|---|---|---|
A binary code with the same weight distribution as its dual code is called formally self-dual (@?f.s.d.). We only consider f.s.d. even codes (codes with only even weight codewords). We show that any formally self-dual even binary code C of length n not divisible by 8 is balanced. We show that the weight distribution of a balanced near-extremal f.s.d. even code of length a multiple of 8 is unique. We also determine the possible weight enumerators of a near-extremal f.s.d. even [n,n/2,2@?n/8@?] code with 8|n as well as the dimension of its radical. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.ffa.2005.09.006 | Finite Fields and Their Applications |
Keywords | Field | DocType |
dual code,weight distribution,binary code,length divisible,self-dual code.,length n,formally self-dual code,balanced near-extremal,possible weight enumerators | Discrete mathematics,Combinatorics,Constant-weight code,Polynomial code,Cyclic code,Linear code,Prefix code,Even code,Universal code,Mathematics,Dual code | Journal |
Volume | Issue | ISSN |
13 | 2 | 1071-5797 |
Citations | PageRank | References |
9 | 0.77 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jon-Lark Kim | 1 | 312 | 34.62 |
| Vera Pless | 2 | 595 | 284.59 |