Information on Result #732738
Linear OA(2576, 15699, F25, 21) (dual of [15699, 15623, 22]-code), using (u, u+v)-construction based on
- linear OA(2514, 66, F25, 10) (dual of [66, 52, 11]-code), using
- extended algebraic-geometric code AGe(F,55P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2562, 15633, F25, 21) (dual of [15633, 15571, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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 C([0,10]) ⊂ C([0,9]) [i] based on
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 OOA(2576, 7849, F25, 2, 21) (dual of [(7849, 2), 15622, 22]-NRT-code) | [i] | OOA Folding | |