Information on Result #1809117
Digital (37, 78, 477)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3278, 477, F32, 2, 41) (dual of [(477, 2), 876, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3278, 513, F32, 2, 41) (dual of [(513, 2), 948, 42]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3278, 1026, F32, 41) (dual of [1026, 948, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(39) [i] based on
- linear OA(3278, 1024, F32, 41) (dual of [1024, 946, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3276, 1024, F32, 40) (dual of [1024, 948, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(40) ⊂ Ce(39) [i] based on
- OOA 2-folding [i] based on linear OA(3278, 1026, F32, 41) (dual of [1026, 948, 42]-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.