Information on Result #638067
Linear OA(5150, 176, F5, 86) (dual of [176, 26, 87]-code), using concatenation of two codes based on
- linear OA(2531, 44, F25, 28) (dual of [44, 13, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, 52, F25, 28) (dual of [52, 21, 29]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2531, 52, F25, 28) (dual of [52, 21, 29]-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: Constructive and 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(5150, 176, F5, 85) (dual of [176, 26, 86]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5150, 176, F5, 84) (dual of [176, 26, 85]-code) | [i] | ||
| 3 | Linear OA(5149, 175, F5, 85) (dual of [175, 26, 86]-code) | [i] | Truncation | |
| 4 | Linear OA(5148, 174, F5, 84) (dual of [174, 26, 85]-code) | [i] | ||
| 5 | Linear OA(5147, 173, F5, 83) (dual of [173, 26, 84]-code) | [i] | ||
| 6 | Linear OOA(5150, 88, F5, 2, 86) (dual of [(88, 2), 26, 87]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(5150, 58, F5, 3, 86) (dual of [(58, 3), 24, 87]-NRT-code) | [i] | ||