Information on Result #693768
Linear OA(2546, 631, F25, 23) (dual of [631, 585, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(2545, 626, F25, 23) (dual of [626, 581, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2541, 626, F25, 21) (dual of [626, 585, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 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(2561, 697, F25, 23) (dual of [697, 636, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2562, 699, F25, 23) (dual of [699, 637, 24]-code) | [i] | ||
| 3 | Linear OA(2563, 701, F25, 23) (dual of [701, 638, 24]-code) | [i] | ||
| 4 | Linear OOA(2546, 315, F25, 2, 23) (dual of [(315, 2), 584, 24]-NRT-code) | [i] | OOA Folding | |