Information on Result #647107
Linear OA(2568, 202, F25, 42) (dual of [202, 134, 43]-code), using construction X applied to AG(F,156P) ⊂ AG(F,158P) based on
- linear OA(2567, 199, F25, 42) (dual of [199, 132, 43]-code), using algebraic-geometric code AG(F,156P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2565, 199, F25, 40) (dual of [199, 134, 41]-code), using algebraic-geometric code AG(F,158P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (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(2572, 216, F25, 42) (dual of [216, 144, 43]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(2568, 101, F25, 2, 42) (dual of [(101, 2), 134, 43]-NRT-code) | [i] | OOA Folding | |