Information on Result #1771228
Digital (198, 238, 8058)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3238, 8058, F3, 2, 40) (dual of [(8058, 2), 15878, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 9848, F3, 2, 40) (dual of [(9848, 2), 19458, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3238, 19696, F3, 40) (dual of [19696, 19458, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(36) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(39) ⊂ Ce(36) [i] based on
- OOA 2-folding [i] based on linear OA(3238, 19696, F3, 40) (dual of [19696, 19458, 41]-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.