Information on Result #1809234
Digital (39, 82, 501)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3282, 501, F32, 2, 43) (dual of [(501, 2), 920, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3282, 513, F32, 2, 43) (dual of [(513, 2), 944, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3282, 1026, F32, 43) (dual of [1026, 944, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(41) [i] based on
- linear OA(3282, 1024, F32, 43) (dual of [1024, 942, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3280, 1024, F32, 42) (dual of [1024, 944, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(42) ⊂ Ce(41) [i] based on
- OOA 2-folding [i] based on linear OA(3282, 1026, F32, 43) (dual of [1026, 944, 44]-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.