Information on Result #653925
Linear OA(6479, 195, F64, 63) (dual of [195, 116, 64]-code), using construction X applied to AG(F,112P) ⊂ AG(F,122P) based on
- linear OA(6470, 176, F64, 63) (dual of [176, 106, 64]-code), using algebraic-geometric code AG(F,112P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6460, 176, F64, 53) (dual of [176, 116, 54]-code), using algebraic-geometric code AG(F,122P) [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(8158, 390, F8, 63) (dual of [390, 232, 64]-code) | [i] | Trace Code | |
| 2 | OA(3295, 195, S32, 63) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6479, 97, F64, 2, 63) (dual of [(97, 2), 115, 64]-NRT-code) | [i] | OOA Folding | |