Information on Result #1765572
Digital (128, 169, 838)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3169, 838, F3, 41) (dual of [838, 669, 42]-code), using
- 94 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 9 times 0, 1, 13 times 0, 1, 16 times 0, 1, 18 times 0, 1, 20 times 0) [i] based on linear OA(3160, 735, F3, 41) (dual of [735, 575, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(39) [i] based on
- linear OA(3160, 729, F3, 41) (dual of [729, 569, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3154, 729, F3, 40) (dual of [729, 575, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(40) ⊂ Ce(39) [i] based on
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.