Information on Result #660257
Linear OA(8128, 378, F8, 51) (dual of [378, 250, 52]-code), using trace code based on linear OA(6464, 189, F64, 51) (dual of [189, 125, 52]-code), using
- construction X applied to AG(F,124P) ⊂ AG(F,131P) [i] based on
- linear OA(6458, 176, F64, 51) (dual of [176, 118, 52]-code), using algebraic-geometric code AG(F,124P) [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(646, 13, F64, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), 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(8129, 379, F8, 51) (dual of [379, 250, 52]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8128, 189, F8, 2, 51) (dual of [(189, 2), 250, 52]-NRT-code) | [i] | OOA Folding | |