Information on Result #1710140
Digital (171, 188, 1363696)-net over F2, using net defined by OOA based on linear OOA(2188, 1363696, F2, 24, 17) (dual of [(1363696, 24), 32728516, 18]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2188, 1363697, F2, 8, 17) (dual of [(1363697, 8), 10909388, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2188, 1363697, F2, 6, 17) (dual of [(1363697, 6), 8181994, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2188, 1398101, F2, 6, 17) (dual of [(1398101, 6), 8388418, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2188, 2796202, F2, 3, 17) (dual of [(2796202, 3), 8388418, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2188, 2796202, F2, 3, 17) (dual of [(2796202, 3), 8388418, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2188, 1398101, F2, 6, 17) (dual of [(1398101, 6), 8388418, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2188, 1363697, F2, 6, 17) (dual of [(1363697, 6), 8181994, 18]-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.