Information on Result #1288658
Linear OA(5142, 160, F5, 91) (dual of [160, 18, 92]-code), using concatenation of two codes based on
- linear OA(2523, 32, F25, 22) (dual of [32, 9, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2523, 36, F25, 22) (dual of [36, 13, 23]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
- discarding factors / shortening the dual code based on linear OA(2523, 36, F25, 22) (dual of [36, 13, 23]-code), using
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [i]
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(5142, 160, F5, 90) (dual of [160, 18, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5141, 159, F5, 90) (dual of [159, 18, 91]-code) | [i] | Truncation | |