Information on Result #718939
Linear OA(942, 755, F9, 13) (dual of [755, 713, 14]-code), using construction XX applied to C1 = C([727,9]), C2 = C([5,11]), C3 = C1 + C2 = C([5,9]), and C∩ = C1 ∩ C2 = C([727,11]) based on
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(921, 728, F9, 7) (dual of [728, 707, 8]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {5,6,…,11}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(915, 728, F9, 5) (dual of [728, 713, 6]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {5,6,7,8,9}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(97, 20, F9, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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.