Information on Result #1808834
Digital (32, 67, 455)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3267, 455, F32, 2, 35) (dual of [(455, 2), 843, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3267, 514, F32, 2, 35) (dual of [(514, 2), 961, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3267, 1028, F32, 35) (dual of [1028, 961, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- 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(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- OOA 2-folding [i] based on linear OA(3267, 1028, F32, 35) (dual of [1028, 961, 36]-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.