Information on Result #719351
Linear OA(956, 743, F9, 20) (dual of [743, 687, 21]-code), using construction XX applied to C1 = C([73,90]), C2 = C([77,92]), C3 = C1 + C2 = C([77,90]), and C∩ = C1 ∩ C2 = C([73,92]) based on
- linear OA(948, 728, F9, 18) (dual of [728, 680, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,90}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {77,78,…,92}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,92}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(939, 728, F9, 14) (dual of [728, 689, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {77,78,…,90}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 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.