Information on Result #1808299
Digital (19, 39, 429)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3239, 429, F32, 2, 20) (dual of [(429, 2), 819, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3239, 513, F32, 2, 20) (dual of [(513, 2), 987, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3239, 1026, F32, 20) (dual of [1026, 987, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3239, 1024, F32, 20) (dual of [1024, 985, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(3239, 1026, F32, 20) (dual of [1026, 987, 21]-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.