Information on Result #1754845
Digital (180, 194, 2544760)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2194, 2544760, F2, 3, 14) (dual of [(2544760, 3), 7634086, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2194, 2797224, F2, 3, 14) (dual of [(2797224, 3), 8391478, 15]-NRT-code), using
- strength reduction [i] based on linear OOA(2194, 2797224, F2, 3, 15) (dual of [(2797224, 3), 8391478, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(232, 1023, F2, 3, 7) (dual of [(1023, 3), 3037, 8]-NRT-code), using
- linear OOA(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- (u, u+v)-construction [i] based on
- strength reduction [i] based on linear OOA(2194, 2797224, F2, 3, 15) (dual of [(2797224, 3), 8391478, 16]-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.