Information on Result #1809007
Digital (35, 74, 454)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3274, 454, F32, 2, 39) (dual of [(454, 2), 834, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3274, 513, F32, 2, 39) (dual of [(513, 2), 952, 40]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3274, 1026, F32, 39) (dual of [1026, 952, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(37) [i] based on
- linear OA(3274, 1024, F32, 39) (dual of [1024, 950, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- 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(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(38) ⊂ Ce(37) [i] based on
- OOA 2-folding [i] based on linear OA(3274, 1026, F32, 39) (dual of [1026, 952, 40]-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.