Information on Result #704792
Linear OA(3167, 785, F3, 38) (dual of [785, 618, 39]-code), using construction XX applied to C1 = C([722,27]), C2 = C([1,31]), C3 = C1 + C2 = C([1,27]), and C∩ = C1 ∩ C2 = C([722,31]) based on
- linear OA(3133, 728, F3, 34) (dual of [728, 595, 35]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,27}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3123, 728, F3, 31) (dual of [728, 605, 32]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3148, 728, F3, 38) (dual of [728, 580, 39]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,31}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3108, 728, F3, 27) (dual of [728, 620, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(314, 37, F3, 6) (dual of [37, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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.