Information on Result #1615001
Linear OOA(12868, 8204, F128, 4, 31) (dual of [(8204, 4), 32748, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12868, 8204, F128, 2, 31) (dual of [(8204, 2), 16340, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12868, 16408, F128, 31) (dual of [16408, 16340, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,11]) [i] based on
- linear OA(12861, 16385, F128, 31) (dual of [16385, 16324, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 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(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([0,15]) ⊂ C([0,11]) [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(12868, 2050, F128, 36, 31) (dual of [(2050, 36), 73732, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |