Information on Result #1288646
Linear OA(5126, 144, F5, 80) (dual of [144, 18, 81]-code), using concatenation of two codes based on
- linear OA(2527, 36, F25, 26) (dual of [36, 9, 27]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
Mode: 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(5127, 145, F5, 80) (dual of [145, 18, 81]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5125, 143, F5, 79) (dual of [143, 18, 80]-code) | [i] | Truncation | |
| 3 | Linear OA(5124, 142, F5, 78) (dual of [142, 18, 79]-code) | [i] | ||
| 4 | Linear OA(5123, 141, F5, 77) (dual of [141, 18, 78]-code) | [i] | ||
| 5 | Linear OA(5121, 139, F5, 75) (dual of [139, 18, 76]-code) | [i] | ||
| 6 | Linear OA(5129, 148, F5, 80) (dual of [148, 19, 81]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(5131, 151, F5, 80) (dual of [151, 20, 81]-code) | [i] | ||