Information on Result #1808247
Digital (17, 35, 417)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3235, 417, F32, 2, 18) (dual of [(417, 2), 799, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3235, 513, F32, 2, 18) (dual of [(513, 2), 991, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3235, 1026, F32, 18) (dual of [1026, 991, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(3235, 1024, F32, 18) (dual of [1024, 989, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3233, 1024, F32, 17) (dual of [1024, 991, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(3235, 1026, F32, 18) (dual of [1026, 991, 19]-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.