Information on Result #721322
Linear OA(1624, 91, F16, 13) (dual of [91, 67, 14]-code), using construction XX applied to C1 = C([0,11]), C2 = C([2,12]), C3 = C1 + C2 = C([2,11]), and C∩ = C1 ∩ C2 = C([0,12]) based on
- linear OA(1621, 85, F16, 12) (dual of [85, 64, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1620, 85, F16, 11) (dual of [85, 65, 12]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {2,3,…,12}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1623, 85, F16, 13) (dual of [85, 62, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1618, 85, F16, 10) (dual of [85, 67, 11]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {2,3,…,11}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.