Information on Result #638056
Linear OA(5144, 172, F5, 80) (dual of [172, 28, 81]-code), using concatenation of two codes based on
- linear OA(2529, 43, F25, 26) (dual of [43, 14, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2529, 52, F25, 26) (dual of [52, 23, 27]-code), using
- extended algebraic-geometric code AGe(F,25P) [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(2529, 52, F25, 26) (dual of [52, 23, 27]-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(5142, 170, F5, 78) (dual of [170, 28, 79]-code) | [i] | Truncation | |
| 2 | Linear OOA(5144, 86, F5, 2, 80) (dual of [(86, 2), 28, 81]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5144, 57, F5, 3, 80) (dual of [(57, 3), 27, 81]-NRT-code) | [i] | ||