Information on Result #1464706
Linear OOA(12854, 14210, F128, 2, 23) (dual of [(14210, 2), 28366, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12854, 14210, F128, 23) (dual of [14210, 14156, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12854, 16414, F128, 23) (dual of [16414, 16360, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,6]) [i] based on
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(12825, 16385, F128, 13) (dual of [16385, 16360, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- construction X applied to C([0,11]) ⊂ C([0,6]) [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(12854, 7105, F128, 3, 23) (dual of [(7105, 3), 21261, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12854, 7105, F128, 4, 23) (dual of [(7105, 4), 28366, 24]-NRT-code) | [i] | ||