Information on Result #653681
Linear OA(6434, 185, F64, 23) (dual of [185, 151, 24]-code), using construction X applied to AG(F,152P) ⊂ AG(F,157P) based on
- linear OA(6430, 176, F64, 23) (dual of [176, 146, 24]-code), using algebraic-geometric code AG(F,152P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6425, 176, F64, 18) (dual of [176, 151, 19]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(644, 9, F64, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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 | OA(3241, 185, S32, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6434, 92, F64, 2, 23) (dual of [(92, 2), 150, 24]-NRT-code) | [i] | OOA Folding | |