Information on Result #1805927
Digital (12, 26, 186)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2726, 186, F27, 14) (dual of [186, 160, 15]-code), using
- construction XX applied to C1 = C([181,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([181,12]) [i] based on
- linear OA(2724, 182, F27, 13) (dual of [182, 158, 14]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2724, 182, F27, 13) (dual of [182, 158, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2726, 182, F27, 14) (dual of [182, 156, 15]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2722, 182, F27, 12) (dual of [182, 160, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 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.