Information on Result #645754
Linear OA(2539, 68, F25, 34) (dual of [68, 29, 35]-code), using construction X applied to AG(F,30P) ⊂ AG(F,32P) based on
- linear OA(2538, 65, F25, 34) (dual of [65, 27, 35]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- 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 (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
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(578, 136, F5, 34) (dual of [136, 58, 35]-code) | [i] | Trace Code | |
| 2 | Linear OA(5146, 204, F5, 69) (dual of [204, 58, 70]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OOA(2539, 34, F25, 2, 34) (dual of [(34, 2), 29, 35]-NRT-code) | [i] | OOA Folding | |