Information on Result #1567403
Linear OOA(25640, 45982, F256, 3, 17) (dual of [(45982, 3), 137906, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25640, 45982, F256, 17) (dual of [45982, 45942, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, 65560, F256, 17) (dual of [65560, 65520, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,4]) [i] based on
- linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(25617, 65537, F256, 9) (dual of [65537, 65520, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- construction X applied to C([0,8]) ⊂ C([0,4]) [i] based on
Mode: 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(25640, 22991, F256, 5, 17) (dual of [(22991, 5), 114915, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25640, 22991, F256, 6, 17) (dual of [(22991, 6), 137906, 18]-NRT-code) | [i] | ||