Information on Result #637831
Linear OA(5127, 165, F5, 65) (dual of [165, 38, 66]-code), using concatenation of two codes based on
- linear OA(2536, 55, F25, 32) (dual of [55, 19, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2536, 65, F25, 32) (dual of [65, 29, 33]-code), using
- algebraic-geometric code AG(F,32P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- discarding factors / shortening the dual code based on linear OA(2536, 65, F25, 32) (dual of [65, 29, 33]-code), using
- linear OA(51, 3, F5, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(5126, 164, F5, 64) (dual of [164, 38, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(5127, 82, F5, 2, 65) (dual of [(82, 2), 37, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5127, 55, F5, 3, 65) (dual of [(55, 3), 38, 66]-NRT-code) | [i] | ||