Information on Result #1791599
Digital (78, 108, 2755)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7108, 2755, F7, 30) (dual of [2755, 2647, 31]-code), using
- 343 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 23 times 0, 1, 53 times 0, 1, 102 times 0, 1, 149 times 0) [i] based on linear OA(7101, 2405, F7, 30) (dual of [2405, 2304, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [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.