Information on Result #638065
Linear OA(5142, 164, F5, 83) (dual of [164, 22, 84]-code), using concatenation of two codes based on
- linear OA(2530, 41, F25, 27) (dual of [41, 11, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2530, 52, F25, 27) (dual of [52, 22, 28]-code), using
- extended algebraic-geometric code AGe(F,24P) [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(2530, 52, F25, 27) (dual of [52, 22, 28]-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, 164, F5, 82) (dual of [164, 22, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5141, 163, F5, 82) (dual of [163, 22, 83]-code) | [i] | Truncation | |
| 3 | Linear OA(5140, 162, F5, 81) (dual of [162, 22, 82]-code) | [i] | ||
| 4 | Linear OOA(5142, 82, F5, 2, 83) (dual of [(82, 2), 22, 84]-NRT-code) | [i] | OOA Folding | |