Information on Result #661537
Linear OA(5138, 204, F5, 61) (dual of [204, 66, 62]-code), using concatenation of two codes based on
- linear OA(2535, 68, F25, 30) (dual of [68, 33, 31]-code), using
- construction X applied to AG(F,34P) ⊂ AG(F,36P) [i] based on
- linear OA(2534, 65, F25, 30) (dual of [65, 31, 31]-code), using algebraic-geometric code AG(F,34P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- 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 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,34P) ⊂ AG(F,36P) [i] based on
- 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(5139, 205, F5, 61) (dual of [205, 66, 62]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5137, 203, F5, 60) (dual of [203, 66, 61]-code) | [i] | Truncation | |
| 3 | Linear OOA(5138, 102, F5, 2, 61) (dual of [(102, 2), 66, 62]-NRT-code) | [i] | OOA Folding | |