Information on Result #693791
Linear OA(2552, 637, F25, 25) (dual of [637, 585, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(2549, 626, F25, 25) (dual of [626, 577, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(253, 11, F25, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,25) or 11-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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(2568, 703, F25, 25) (dual of [703, 635, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2552, 484, F25, 2, 25) (dual of [(484, 2), 916, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (27, 52, 484)-net over F25 | [i] | ||
| 4 | Linear OOA(2552, 318, F25, 2, 25) (dual of [(318, 2), 584, 26]-NRT-code) | [i] | OOA Folding | |