Information on Result #1810251
Digital (82, 110, 694985)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(32110, 694985, F32, 28) (dual of [694985, 694875, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(32110, 1048585, F32, 28) (dual of [1048585, 1048475, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(32109, 1048576, F32, 28) (dual of [1048576, 1048467, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(32101, 1048576, F32, 26) (dual of [1048576, 1048475, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [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.