Information on Result #655114
Linear OA(8123, 176, F81, 14) (dual of [176, 153, 15]-code), using construction X applied to AG(F,156P) ⊂ AG(F,159P) based on
- linear OA(8121, 171, F81, 14) (dual of [171, 150, 15]-code), using algebraic-geometric code AG(F,156P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8118, 171, F81, 11) (dual of [171, 153, 12]-code), using algebraic-geometric code AG(F,159P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OA(812, 5, F81, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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(8180, 6738, F81, 29) (dual of [6738, 6658, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8178, 6737, F81, 28) (dual of [6737, 6659, 29]-code) | [i] | ||