Information on Result #705185
Linear OA(3205, 789, F3, 47) (dual of [789, 584, 48]-code), using construction XX applied to C1 = C([331,373]), C2 = C([339,377]), C3 = C1 + C2 = C([339,373]), and C∩ = C1 ∩ C2 = C([331,377]) based on
- linear OA(3166, 728, F3, 43) (dual of [728, 562, 44]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,373}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3157, 728, F3, 39) (dual of [728, 571, 40]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,377}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3184, 728, F3, 47) (dual of [728, 544, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,377}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3139, 728, F3, 35) (dual of [728, 589, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,373}, and designed minimum distance d ≥ |I|+1 = 36 [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.