Information on Result #1707724
Digital (94, 103, 2731713)-net over F2, using net defined by OOA based on linear OOA(2103, 2731713, F2, 9, 9) (dual of [(2731713, 9), 24585314, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(2103, 2731713, F2, 8, 9) (dual of [(2731713, 8), 21853601, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2103, 2731713, F2, 3, 9) (dual of [(2731713, 3), 8195036, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2103, 2796233, F2, 3, 9) (dual of [(2796233, 3), 8388596, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 10, 32)-net over F2, using
- linear OOA(293, 2796201, F2, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2103, 2796233, F2, 3, 9) (dual of [(2796233, 3), 8388596, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2103, 2731713, F2, 3, 9) (dual of [(2731713, 3), 8195036, 10]-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.