Information on Result #1710782
Digital (144, 168, 1637)-net over F2, using net defined by OOA based on linear OOA(2168, 1637, F2, 30, 24) (dual of [(1637, 30), 48942, 25]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2168, 3275, F2, 6, 24) (dual of [(3275, 6), 19482, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2168, 3276, F2, 6, 24) (dual of [(3276, 6), 19488, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2168, 3276, F2, 5, 24) (dual of [(3276, 5), 16212, 25]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2168, 16380, F2, 24) (dual of [16380, 16212, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2168, 16384, F2, 24) (dual of [16384, 16216, 25]-code), using
- 1 times truncation [i] based on linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2168, 16384, F2, 24) (dual of [16384, 16216, 25]-code), using
- OOA 5-folding [i] based on linear OA(2168, 16380, F2, 24) (dual of [16380, 16212, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2168, 3276, F2, 5, 24) (dual of [(3276, 5), 16212, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2168, 3276, F2, 6, 24) (dual of [(3276, 6), 19488, 25]-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.