Information on Result #1808881
Digital (33, 69, 467)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3269, 467, F32, 2, 36) (dual of [(467, 2), 865, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3269, 514, F32, 2, 36) (dual of [(514, 2), 959, 37]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3269, 1028, F32, 36) (dual of [1028, 959, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3269, 1029, F32, 36) (dual of [1029, 960, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
- linear OA(3268, 1024, F32, 36) (dual of [1024, 956, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 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(35) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(3269, 1029, F32, 36) (dual of [1029, 960, 37]-code), using
- OOA 2-folding [i] based on linear OA(3269, 1028, F32, 36) (dual of [1028, 959, 37]-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.