Information on Result #660422
Linear OA(8156, 386, F8, 63) (dual of [386, 230, 64]-code), using trace code based on linear OA(6478, 193, F64, 63) (dual of [193, 115, 64]-code), using
- construction X applied to AG(F,112P) ⊂ AG(F,121P) [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(6461, 176, F64, 54) (dual of [176, 115, 55]-code), using algebraic-geometric code AG(F,121P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(648, 17, F64, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), 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(8157, 387, F8, 63) (dual of [387, 230, 64]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8156, 193, F8, 2, 63) (dual of [(193, 2), 230, 64]-NRT-code) | [i] | OOA Folding | |