Information on Result #653529
Linear OA(6453, 181, F64, 44) (dual of [181, 128, 45]-code), using construction X applied to AG(F,131P) ⊂ AG(F,134P) based on
- 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, using
- linear OA(6448, 176, F64, 41) (dual of [176, 128, 42]-code), using algebraic-geometric code AG(F,134P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(642, 5, F64, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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(4159, 543, F4, 44) (dual of [543, 384, 45]-code) | [i] | Trace Code | |
| 2 | Linear OA(8106, 362, F8, 44) (dual of [362, 256, 45]-code) | [i] | ||
| 3 | OA(3264, 181, S32, 44) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OOA(6453, 90, F64, 2, 44) (dual of [(90, 2), 127, 45]-NRT-code) | [i] | OOA Folding | |