Information on Result #637756
Linear OA(5118, 162, F5, 57) (dual of [162, 44, 58]-code), using concatenation of two codes based on
- linear OA(2532, 54, F25, 28) (dual of [54, 22, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2532, 65, F25, 28) (dual of [65, 33, 29]-code), using
- algebraic-geometric code AG(F,36P) [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(2532, 65, F25, 28) (dual of [65, 33, 29]-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(5117, 161, F5, 56) (dual of [161, 44, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(5118, 81, F5, 2, 57) (dual of [(81, 2), 44, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5118, 54, F5, 3, 57) (dual of [(54, 3), 44, 58]-NRT-code) | [i] | ||