Information on Result #1465277
Linear OOA(25645, 48131, F256, 2, 19) (dual of [(48131, 2), 96217, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25645, 48131, F256, 19) (dual of [48131, 48086, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25645, 65546, F256, 19) (dual of [65546, 65501, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([1,9]) [i] based on
- linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(25636, 65537, F256, 10) (dual of [65537, 65501, 11]-code), using the narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [1,9], and minimum distance d ≥ |{−9,−7,−5,…,9}|+1 = 11 (BCH-bound) [i]
- linear OA(2568, 9, F256, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,256)), using
- dual of repetition code with length 9 [i]
- construction X applied to C([0,9]) ⊂ C([1,9]) [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(25645, 24065, F256, 3, 19) (dual of [(24065, 3), 72150, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25645, 24065, F256, 4, 19) (dual of [(24065, 4), 96215, 20]-NRT-code) | [i] | ||