Information on Result #732666
Linear OA(2583, 15699, F25, 23) (dual of [15699, 15616, 24]-code), using (u, u+v)-construction based on
- linear OA(2515, 66, F25, 11) (dual of [66, 51, 12]-code), using
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2568, 15633, F25, 23) (dual of [15633, 15565, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- 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(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([0,11]) ⊂ C([0,10]) [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(2583, 7849, F25, 2, 23) (dual of [(7849, 2), 15615, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2583, 1427, F25, 23, 23) (dual of [(1427, 23), 32738, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |