Information on Result #705126
Linear OA(3199, 791, F3, 45) (dual of [791, 592, 46]-code), using construction XX applied to C1 = C([324,363]), C2 = C([331,368]), C3 = C1 + C2 = C([331,363]), and C∩ = C1 ∩ C2 = C([324,368]) based on
- linear OA(3159, 728, F3, 40) (dual of [728, 569, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,363}, and designed minimum distance d ≥ |I|+1 = 41 [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 = {331,332,…,368}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3178, 728, F3, 45) (dual of [728, 550, 46]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,368}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3129, 728, F3, 33) (dual of [728, 599, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,363}, and designed minimum distance d ≥ |I|+1 = 34 [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.