Information on Result #1567518
Linear OOA(25650, 50504, F256, 3, 21) (dual of [(50504, 3), 151462, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25650, 50504, F256, 21) (dual of [50504, 50454, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(25650, 65566, F256, 21) (dual of [65566, 65516, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,5]) [i] based on
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 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(2569, 29, F256, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,256)), using
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- Reed–Solomon code RS(247,256) [i]
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- construction X applied to C([0,10]) ⊂ C([0,5]) [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(25650, 25252, F256, 5, 21) (dual of [(25252, 5), 126210, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25650, 25252, F256, 6, 21) (dual of [(25252, 6), 151462, 22]-NRT-code) | [i] | ||