Information on Result #719004
Linear OA(948, 755, F9, 15) (dual of [755, 707, 16]-code), using construction XX applied to C1 = C([723,7]), C2 = C([1,9]), C3 = C1 + C2 = C([1,7]), and C∩ = C1 ∩ C2 = C([723,9]) based on
- linear OA(937, 728, F9, 13) (dual of [728, 691, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,7}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(924, 728, F9, 9) (dual of [728, 704, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,9}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(921, 728, F9, 7) (dual of [728, 707, 8]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(97, 23, F9, 5) (dual of [23, 16, 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, 4, F9, 1) (dual of [4, 3, 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.