Information on Result #1770666
Digital (199, 232, 27367)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3232, 27367, F3, 2, 33) (dual of [(27367, 2), 54502, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3232, 29550, F3, 2, 33) (dual of [(29550, 2), 58868, 34]-NRT-code), using
- strength reduction [i] based on linear OOA(3232, 29550, F3, 2, 34) (dual of [(29550, 2), 58868, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3232, 59100, F3, 34) (dual of [59100, 58868, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(3232, 59100, F3, 34) (dual of [59100, 58868, 35]-code), using
- strength reduction [i] based on linear OOA(3232, 29550, F3, 2, 34) (dual of [(29550, 2), 58868, 35]-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.