Information on Result #660335
Linear OA(8142, 358, F8, 63) (dual of [358, 216, 64]-code), using trace code based on linear OA(6471, 179, F64, 63) (dual of [179, 108, 64]-code), using
- construction X applied to AG(F,112P) ⊂ AG(F,114P) [i] based on
- linear OA(6470, 176, F64, 63) (dual of [176, 106, 64]-code), using algebraic-geometric code AG(F,112P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6468, 176, F64, 61) (dual of [176, 108, 62]-code), using algebraic-geometric code AG(F,114P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (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(8143, 359, F8, 63) (dual of [359, 216, 64]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8142, 179, F8, 2, 63) (dual of [(179, 2), 216, 64]-NRT-code) | [i] | OOA Folding | |