Information on Result #1181806
Digital (234, 253, 932294)-net over F2, using net defined by OOA based on linear OOA(2253, 932294, F2, 21, 19) (dual of [(932294, 21), 19577921, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2253, 2796883, F2, 3, 19) (dual of [(2796883, 3), 8390396, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2253, 2796884, F2, 3, 19) (dual of [(2796884, 3), 8390399, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(245, 683, F2, 3, 9) (dual of [(683, 3), 2004, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, 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(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- linear OOA(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- linear OOA(245, 683, F2, 3, 9) (dual of [(683, 3), 2004, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2253, 2796884, F2, 3, 19) (dual of [(2796884, 3), 8390399, 20]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.