Information on Result #1808534
Digital (26, 53, 488)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3253, 488, F32, 2, 27) (dual of [(488, 2), 923, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3253, 513, F32, 2, 27) (dual of [(513, 2), 973, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3253, 1026, F32, 27) (dual of [1026, 973, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(3253, 1024, F32, 27) (dual of [1024, 971, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3251, 1024, F32, 26) (dual of [1024, 973, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(26) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(3253, 1026, F32, 27) (dual of [1026, 973, 28]-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.