Information on Result #1811691
Digital (42, 72, 5678)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6472, 5678, F64, 30) (dual of [5678, 5606, 31]-code), using
- 1567 step Varšamov–Edel lengthening with (ri) = (5, 1, 0, 0, 1, 8 times 0, 1, 21 times 0, 1, 49 times 0, 1, 111 times 0, 1, 237 times 0, 1, 447 times 0, 1, 683 times 0) [i] based on linear OA(6459, 4098, F64, 30) (dual of [4098, 4039, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6457, 4096, F64, 29) (dual of [4096, 4039, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 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.