Information on Result #1837985
OOA(12878, 2101248, S128, 4, 18), using OOA 2-folding based on OOA(12878, 4202496, S128, 2, 18), using
- (u, u+v)-construction [i] based on
- linear OOA(12818, 8195, F128, 2, 9) (dual of [(8195, 2), 16372, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- 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(12813, 16385, F128, 7) (dual of [16385, 16372, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- OOA 2-folding [i] based on linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code), using
- OOA(12860, 4194301, S128, 2, 18), using
- OOA 2-folding [i] based on OA(12860, 8388602, S128, 18), using
- discarding factors based on OA(12860, large, S128, 18), using
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- discarding factors based on OA(12860, large, S128, 18), using
- OOA 2-folding [i] based on OA(12860, 8388602, S128, 18), using
- linear OOA(12818, 8195, F128, 2, 9) (dual of [(8195, 2), 16372, 10]-NRT-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.