Information on Result #1767250
Digital (166, 192, 56829)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3192, 56829, F3, 3, 26) (dual of [(56829, 3), 170295, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 59057, F3, 3, 26) (dual of [(59057, 3), 176979, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3192, 177171, F3, 26) (dual of [177171, 176979, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3192, 177173, F3, 26) (dual of [177173, 176981, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3192, 177173, F3, 26) (dual of [177173, 176981, 27]-code), using
- OOA 3-folding [i] based on linear OA(3192, 177171, F3, 26) (dual of [177171, 176979, 27]-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.