Information on Result #1288655
Linear OA(5140, 160, F5, 87) (dual of [160, 20, 88]-code), using concatenation of two codes based on
- linear OA(2522, 32, F25, 21) (dual of [32, 10, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2522, 36, F25, 21) (dual of [36, 14, 22]-code), using
- extended algebraic-geometric code AGe(F,14P) [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(2522, 36, F25, 21) (dual of [36, 14, 22]-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(5139, 159, F5, 86) (dual of [159, 20, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(5138, 158, F5, 85) (dual of [158, 20, 86]-code) | [i] | ||
| 3 | Linear OA(5142, 163, F5, 87) (dual of [163, 21, 88]-code) | [i] | Construction X with Varšamov Bound | |