Information on Result #1070296
Linear OOA(12867, 2101248, F128, 4, 14) (dual of [(2101248, 4), 8404925, 15]-NRT-code), using OOA 2-folding based on linear OOA(12867, 4202496, F128, 2, 14) (dual of [(4202496, 2), 8404925, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12814, 8195, F128, 2, 7) (dual of [(8195, 2), 16376, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12814, 16390, F128, 7) (dual of [16390, 16376, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- 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(1289, 16385, F128, 5) (dual of [16385, 16376, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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([0,3]) ⊂ C([0,2]) [i] based on
- OOA 2-folding [i] based on linear OA(12814, 16390, F128, 7) (dual of [16390, 16376, 8]-code), using
- linear OOA(12853, 4194301, F128, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12853, 8388602, F128, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(12853, 8388602, F128, 14) (dual of [8388602, 8388549, 15]-code), using
- linear OOA(12814, 8195, F128, 2, 7) (dual of [(8195, 2), 16376, 8]-NRT-code), using
Mode: Constructive and linear.
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.