Information on Result #1710190
Digital (200, 217, 1677847)-net over F2, using net defined by OOA based on linear OOA(2217, 1677847, F2, 24, 17) (dual of [(1677847, 24), 40268111, 18]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2217, 1677848, F2, 8, 17) (dual of [(1677848, 8), 13422567, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2217, 1677848, F2, 5, 17) (dual of [(1677848, 5), 8389023, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(232, 128, F2, 5, 8) (dual of [(128, 5), 608, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(232, 128, F2, 2, 8) (dual of [(128, 2), 224, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(232, 256, F2, 8) (dual of [256, 224, 9]-code), using
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- OOA 2-folding [i] based on linear OA(232, 256, F2, 8) (dual of [256, 224, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(232, 128, F2, 2, 8) (dual of [(128, 2), 224, 9]-NRT-code), using
- linear OOA(2185, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388415, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 5-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- linear OOA(232, 128, F2, 5, 8) (dual of [(128, 5), 608, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2217, 1677848, F2, 5, 17) (dual of [(1677848, 5), 8389023, 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.