Information on Result #657729
Linear OA(25645, 260, F256, 44) (dual of [260, 215, 45]-code), using construction X applied to AG(F,106P) ⊂ AG(F,107P) based on
- linear OA(25644, 257, F256, 44) (dual of [257, 213, 45]-code or 257-arc in PG(43,256)), using algebraic-geometric code AG(F,106P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- linear OA(25642, 257, F256, 42) (dual of [257, 215, 43]-code or 257-arc in PG(41,256)), using algebraic-geometric code AG(F,107P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4180, 1040, F4, 44) (dual of [1040, 860, 45]-code) | [i] | Trace Code | |
| 2 | Linear OA(1690, 520, F16, 44) (dual of [520, 430, 45]-code) | [i] | ||
| 3 | OA(3272, 260, S32, 44) | [i] | Discarding Parts of the Base for OAs | |
| 4 | OA(6460, 260, S64, 44) | [i] | ||
| 5 | OA(12852, 260, S128, 44) | [i] | ||
| 6 | Linear OA(25667, 517, F256, 44) (dual of [517, 450, 45]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(25668, 520, F256, 44) (dual of [520, 452, 45]-code) | [i] | ||