Information on Result #1808123
Digital (11, 23, 431)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3223, 431, F32, 2, 12) (dual of [(431, 2), 839, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 513, F32, 2, 12) (dual of [(513, 2), 1003, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3223, 1026, F32, 12) (dual of [1026, 1003, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3223, 1024, F32, 12) (dual of [1024, 1001, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3221, 1024, F32, 11) (dual of [1024, 1003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(3223, 1026, F32, 12) (dual of [1026, 1003, 13]-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.