Information on Result #1206288
Digital (234, 252, 932579)-net over F2, using (u, u+v)-construction based on
- digital (36, 45, 512)-net over F2, using
- net defined by OOA [i] based on linear OOA(245, 512, F2, 9, 9) (dual of [(512, 9), 4563, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(245, 512, F2, 8, 9) (dual of [(512, 8), 4051, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [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 4-folding and stacking with additional row [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- appending kth column [i] based on linear OOA(245, 512, F2, 8, 9) (dual of [(512, 8), 4051, 10]-NRT-code), using
- net defined by OOA [i] based on linear OOA(245, 512, F2, 9, 9) (dual of [(512, 9), 4563, 10]-NRT-code), using
- digital (189, 207, 932067)-net over F2, using
- net defined by OOA [i] based on linear OOA(2207, 932067, F2, 18, 18) (dual of [(932067, 18), 16776999, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OA 9-folding and stacking [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- net defined by OOA [i] based on linear OOA(2207, 932067, F2, 18, 18) (dual of [(932067, 18), 16776999, 19]-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.