Information on Result #1801796
Digital (50, 74, 4765)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1674, 4765, F16, 24) (dual of [4765, 4691, 25]-code), using
- 659 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 0, 1, 16 times 0, 1, 61 times 0, 1, 186 times 0, 1, 388 times 0) [i] based on linear OA(1667, 4099, F16, 24) (dual of [4099, 4032, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(1667, 4096, F16, 24) (dual of [4096, 4029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1664, 4096, F16, 23) (dual of [4096, 4032, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [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.