Information on Result #1288662
Linear OA(5149, 165, F5, 99) (dual of [165, 16, 100]-code), using concatenation of two codes based on
- linear OA(2525, 33, F25, 24) (dual of [33, 8, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2525, 36, F25, 24) (dual of [36, 11, 25]-code), using
- extended algebraic-geometric code AGe(F,11P) [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(2525, 36, F25, 24) (dual of [36, 11, 25]-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(5149, 165, F5, 98) (dual of [165, 16, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5149, 165, F5, 97) (dual of [165, 16, 98]-code) | [i] | ||
| 3 | Linear OA(5149, 165, F5, 96) (dual of [165, 16, 97]-code) | [i] | ||
| 4 | Linear OA(5150, 166, F5, 99) (dual of [166, 16, 100]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(5148, 164, F5, 98) (dual of [164, 16, 99]-code) | [i] | Truncation | |
| 6 | Linear OA(5147, 163, F5, 97) (dual of [163, 16, 98]-code) | [i] | ||
| 7 | Linear OA(5146, 162, F5, 96) (dual of [162, 16, 97]-code) | [i] | ||
| 8 | Linear OA(5145, 161, F5, 95) (dual of [161, 16, 96]-code) | [i] | ||