Information on Result #1808955
Digital (34, 72, 442)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3272, 442, F32, 2, 38) (dual of [(442, 2), 812, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3272, 513, F32, 2, 38) (dual of [(513, 2), 954, 39]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3272, 1026, F32, 38) (dual of [1026, 954, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(3272, 1024, F32, 38) (dual of [1024, 952, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3270, 1024, F32, 37) (dual of [1024, 954, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- OOA 2-folding [i] based on linear OA(3272, 1026, F32, 38) (dual of [1026, 954, 39]-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.