Information on Result #660103
Linear OA(882, 164, F8, 39) (dual of [164, 82, 40]-code), using trace code based on linear OA(6441, 82, F64, 39) (dual of [82, 41, 40]-code), using
- construction X applied to AG(F,39P) ⊂ AG(F,41P) [i] based on
- linear OA(6440, 79, F64, 39) (dual of [79, 39, 40]-code), using algebraic-geometric code AG(F,39P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6438, 79, F64, 37) (dual of [79, 41, 38]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (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(883, 165, F8, 39) (dual of [165, 82, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(882, 82, F8, 2, 39) (dual of [(82, 2), 82, 40]-NRT-code) | [i] | OOA Folding | |