Information on Result #1753080
Digital (132, 167, 412)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2167, 412, F2, 2, 35) (dual of [(412, 2), 657, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2167, 515, F2, 2, 35) (dual of [(515, 2), 863, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2167, 1030, F2, 35) (dual of [1030, 863, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2161, 1024, F2, 33) (dual of [1024, 863, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(2167, 1030, F2, 35) (dual of [1030, 863, 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.