Information on Result #1808178
Digital (14, 29, 410)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3229, 410, F32, 2, 15) (dual of [(410, 2), 791, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3229, 513, F32, 2, 15) (dual of [(513, 2), 997, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3229, 1026, F32, 15) (dual of [1026, 997, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(3229, 1024, F32, 15) (dual of [1024, 995, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3227, 1024, F32, 14) (dual of [1024, 997, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(3229, 1026, F32, 15) (dual of [1026, 997, 16]-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.