Information on Result #1130671
Linear OOA(25622, 13108, F256, 6, 11) (dual of [(13108, 6), 78626, 12]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OA(25622, 65541, F256, 11) (dual of [65541, 65519, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(25622, 65542, F256, 11) (dual of [65542, 65520, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,5]) ⊂ C([0,4]) [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(25623, 13108, F256, 6, 11) (dual of [(13108, 6), 78625, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25645, 3355648, F256, 6, 11) (dual of [(3355648, 6), 20133843, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |