Information on Result #1817543
OA(32102, 517, S32, 55), using discarding parts of the base based on linear OA(6485, 517, F64, 55) (dual of [517, 432, 56]-code), using
- construction X applied to AG(F,456P) ⊂ AG(F,459P) [i] based on
- linear OA(6483, 512, F64, 55) (dual of [512, 429, 56]-code), using algebraic-geometric code AG(F,456P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OA(6480, 512, F64, 52) (dual of [512, 432, 53]-code), using algebraic-geometric code AG(F,459P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(642, 5, F64, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- linear OA(6483, 512, F64, 55) (dual of [512, 429, 56]-code), using algebraic-geometric code AG(F,456P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, 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(32103, 518, S32, 55) | [i] | Code Embedding in Larger Space | |
| 2 | OA(32104, 519, S32, 55) | [i] | ||
| 3 | OOA(32102, 258, S32, 2, 55) | [i] | OOA Folding | |