Information on Result #1288645
Linear OA(5122, 140, F5, 77) (dual of [140, 18, 78]-code), using concatenation of two codes based on
- linear OA(2526, 35, F25, 25) (dual of [35, 9, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, 36, F25, 25) (dual of [36, 10, 26]-code), using
- extended algebraic-geometric code AGe(F,10P) [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(2526, 36, F25, 25) (dual of [36, 10, 26]-code), 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(5122, 140, F5, 76) (dual of [140, 18, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5121, 139, F5, 76) (dual of [139, 18, 77]-code) | [i] | Truncation | |
| 3 | Linear OA(5120, 138, F5, 75) (dual of [138, 18, 76]-code) | [i] | ||