Information on Result #1614513
Linear OOA(12840, 15224, F128, 4, 17) (dual of [(15224, 4), 60856, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12840, 15224, F128, 17) (dual of [15224, 15184, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12840, 16408, F128, 17) (dual of [16408, 16368, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,4]) [i] based on
- linear OA(12833, 16385, F128, 17) (dual of [16385, 16352, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(12817, 16385, F128, 9) (dual of [16385, 16368, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), 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(12840, 7611, F128, 20, 17) (dual of [(7611, 20), 152180, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |