Information on Result #1179216
Digital (88, 97, 2097153)-net over F2, using net defined by OOA based on linear OOA(297, 2097153, F2, 9, 9) (dual of [(2097153, 9), 18874280, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(297, 2097153, F2, 8, 9) (dual of [(2097153, 8), 16777127, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(24, 3, F2, 8, 4) (dual of [(3, 8), 20, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(8;20,2) [i]
- linear OOA(293, 2097150, F2, 8, 9) (dual of [(2097150, 8), 16777107, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(293, 8388601, F2, 9) (dual of [8388601, 8388508, 10]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(293, 8388601, F2, 9) (dual of [8388601, 8388508, 10]-code), using
- linear OOA(24, 3, F2, 8, 4) (dual of [(3, 8), 20, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
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.