Information on Result #1791751
Digital (18, 23, 64528)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(823, 64528, F8, 5) (dual of [64528, 64505, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(80, 8066, F8, 0) (dual of [8066, 8066, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(80, 8066, F8, 0) (dual of [8066, 8066, 1]-code) (see above)
- linear OA(80, 8066, F8, 0) (dual of [8066, 8066, 1]-code) (see above)
- linear OA(81, 8066, F8, 1) (dual of [8066, 8065, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(81, 8066, F8, 1) (dual of [8066, 8065, 2]-code) (see above)
- linear OA(81, 8066, F8, 1) (dual of [8066, 8065, 2]-code) (see above)
- linear OA(86, 8066, F8, 2) (dual of [8066, 8060, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 32768, F8, 2) (dual of [32768, 32762, 3]-code), using
- an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(86, 32768, F8, 2) (dual of [32768, 32762, 3]-code), using
- linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- trace code [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- linear OA(80, 8066, F8, 0) (dual of [8066, 8066, 1]-code), using
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.