Information on Result #704700
Linear OA(3163, 791, F3, 36) (dual of [791, 628, 37]-code), using construction XX applied to C1 = C([333,363]), C2 = C([340,368]), C3 = C1 + C2 = C([340,363]), and C∩ = C1 ∩ C2 = C([333,368]) based on
- linear OA(3123, 728, F3, 31) (dual of [728, 605, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,363}, and designed minimum distance d ≥ |I|+1 = 32 [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 = {340,341,…,368}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3142, 728, F3, 36) (dual of [728, 586, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,368}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(396, 728, F3, 24) (dual of [728, 632, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,363}, and designed minimum distance d ≥ |I|+1 = 25 [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(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
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.