Information on Result #660116
Linear OA(888, 260, F8, 38) (dual of [260, 172, 39]-code), using trace code based on linear OA(6444, 130, F64, 38) (dual of [130, 86, 39]-code), using
- construction X applied to AG(F,88P) ⊂ AG(F,90P) [i] based on
- linear OA(6443, 127, F64, 38) (dual of [127, 84, 39]-code), using algebraic-geometric code AG(F,88P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6441, 127, F64, 36) (dual of [127, 86, 37]-code), using algebraic-geometric code AG(F,90P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 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(889, 261, F8, 38) (dual of [261, 172, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(888, 130, F8, 2, 38) (dual of [(130, 2), 172, 39]-NRT-code) | [i] | OOA Folding | |