Information on Result #1808046
Digital (4, 10, 97)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3210, 97, F32, 6) (dual of [97, 87, 7]-code), using
- construction XX applied to C1 = C([92,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([92,4]) [i] based on
- linear OA(328, 93, F32, 5) (dual of [93, 85, 6]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(328, 93, F32, 5) (dual of [93, 85, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(3210, 93, F32, 6) (dual of [93, 83, 7]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(326, 93, F32, 4) (dual of [93, 87, 5]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [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
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
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.