Information on Result #660316
Linear OA(8140, 390, F8, 54) (dual of [390, 250, 55]-code), using trace code based on linear OA(6470, 195, F64, 54) (dual of [195, 125, 55]-code), using
- construction X applied to AG(F,121P) ⊂ AG(F,131P) [i] based on
- 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, using
- linear OA(6451, 176, F64, 44) (dual of [176, 125, 45]-code), using algebraic-geometric code AG(F,131P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(649, 19, F64, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), 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(8141, 391, F8, 54) (dual of [391, 250, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8140, 195, F8, 2, 54) (dual of [(195, 2), 250, 55]-NRT-code) | [i] | OOA Folding | |