Information on Result #653981
Linear OA(6473, 197, F64, 56) (dual of [197, 124, 57]-code), using construction X applied to AG(F,119P) ⊂ AG(F,130P) based on
- linear OA(6463, 176, F64, 56) (dual of [176, 113, 57]-code), using algebraic-geometric code AG(F,119P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6452, 176, F64, 45) (dual of [176, 124, 46]-code), using algebraic-geometric code AG(F,130P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6410, 21, F64, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), 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(8146, 394, F8, 56) (dual of [394, 248, 57]-code) | [i] | Trace Code | |
| 2 | OA(3288, 197, S32, 56) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6473, 98, F64, 2, 56) (dual of [(98, 2), 123, 57]-NRT-code) | [i] | OOA Folding | |