Information on Result #1808857
Digital (32, 68, 419)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3268, 419, F32, 2, 36) (dual of [(419, 2), 770, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3268, 513, F32, 2, 36) (dual of [(513, 2), 958, 37]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3268, 1026, F32, 36) (dual of [1026, 958, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(34) [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(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(35) ⊂ Ce(34) [i] based on
- OOA 2-folding [i] based on linear OA(3268, 1026, F32, 36) (dual of [1026, 958, 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.