Information on Result #1803142
Digital (77, 119, 3727)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16119, 3727, F16, 42) (dual of [3727, 3608, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(16119, 4103, F16, 42) (dual of [4103, 3984, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(39) [i] based on
- linear OA(16118, 4096, F16, 42) (dual of [4096, 3978, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(16112, 4096, F16, 40) (dual of [4096, 3984, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(41) ⊂ 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.