Information on Result #1746810
Digital (7, 14, 8194)-net over F128, using net defined by OOA based on linear OOA(12814, 8194, F128, 9, 7) (dual of [(8194, 9), 73732, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12814, 8195, F128, 3, 7) (dual of [(8195, 3), 24571, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [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
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12814, 8195, F128, 2, 7) (dual of [(8195, 2), 16376, 8]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.