Information on Result #653768
Linear OA(6470, 189, F64, 57) (dual of [189, 119, 58]-code), using construction X applied to AG(F,118P) ⊂ AG(F,125P) based on
- linear OA(6464, 176, F64, 57) (dual of [176, 112, 58]-code), using algebraic-geometric code AG(F,118P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6457, 176, F64, 50) (dual of [176, 119, 51]-code), using algebraic-geometric code AG(F,125P) [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(4210, 567, F4, 57) (dual of [567, 357, 58]-code) | [i] | Trace Code | |
| 2 | Linear OA(8140, 378, F8, 57) (dual of [378, 238, 58]-code) | [i] | ||
| 3 | OA(3284, 189, S32, 57) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OOA(6470, 94, F64, 2, 57) (dual of [(94, 2), 118, 58]-NRT-code) | [i] | OOA Folding | |