Information on Result #1711838
Digital (176, 208, 1007)-net over F2, using net defined by OOA based on linear OOA(2208, 1007, F2, 40, 32) (dual of [(1007, 40), 40072, 33]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2208, 2015, F2, 8, 32) (dual of [(2015, 8), 15912, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2208, 2016, F2, 8, 32) (dual of [(2016, 8), 15920, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2208, 2016, F2, 4, 32) (dual of [(2016, 4), 7856, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2208, 2048, F2, 4, 32) (dual of [(2048, 4), 7984, 33]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2208, 8192, F2, 32) (dual of [8192, 7984, 33]-code), using
- 1 times truncation [i] based on linear OA(2209, 8193, F2, 33) (dual of [8193, 7984, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2209, 8193, F2, 33) (dual of [8193, 7984, 34]-code), using
- OOA 4-folding [i] based on linear OA(2208, 8192, F2, 32) (dual of [8192, 7984, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(2208, 2048, F2, 4, 32) (dual of [(2048, 4), 7984, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2208, 2016, F2, 4, 32) (dual of [(2016, 4), 7856, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2208, 2016, F2, 8, 32) (dual of [(2016, 8), 15920, 33]-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.