Information on Result #1820514
OA(3242, 260, S32, 25), using discarding parts of the base based on linear OA(25626, 260, F256, 25) (dual of [260, 234, 26]-code), using
- construction X applied to AG(F, Q+114P) ⊂ AG(F, Q+115P) [i] based on
- linear OA(25625, 257, F256, 25) (dual of [257, 232, 26]-code or 257-arc in PG(24,256)), using algebraic-geometric code AG(F, Q+114P) with degQ = 3 and 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(25623, 257, F256, 23) (dual of [257, 234, 24]-code or 257-arc in PG(22,256)), using algebraic-geometric code AG(F, Q+115P) with degQ = 3 and 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.
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 | OA(3243, 261, S32, 25) | [i] | Code Embedding in Larger Space | |
| 2 | OA(3244, 262, S32, 25) | [i] | ||
| 3 | OOA(3242, 130, S32, 2, 25) | [i] | OOA Folding | |