Information on Result #704906
Linear OA(3181, 789, F3, 41) (dual of [789, 608, 42]-code), using construction XX applied to C1 = C([331,367]), C2 = C([339,371]), C3 = C1 + C2 = C([339,367]), and C∩ = C1 ∩ C2 = C([331,371]) based on
- linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,367}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3133, 728, F3, 33) (dual of [728, 595, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,371}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3160, 728, F3, 41) (dual of [728, 568, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,371}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3115, 728, F3, 29) (dual of [728, 613, 30]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,367}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(315, 37, F3, 7) (dual of [37, 22, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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.