Information on Result #1764726
Digital (118, 156, 778)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3156, 778, F3, 38) (dual of [778, 622, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3156, 780, F3, 38) (dual of [780, 624, 39]-code), using
- 37 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 12 times 0) [i] based on linear OA(3148, 735, F3, 38) (dual of [735, 587, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(3148, 729, F3, 38) (dual of [729, 581, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3142, 729, F3, 37) (dual of [729, 587, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- 37 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 12 times 0) [i] based on linear OA(3148, 735, F3, 38) (dual of [735, 587, 39]-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.