Information on Result #705778
Linear OA(3249, 782, F3, 61) (dual of [782, 533, 62]-code), using construction XX applied to C1 = C([307,363]), C2 = C([315,367]), C3 = C1 + C2 = C([315,363]), and C∩ = C1 ∩ C2 = C([307,367]) based on
- linear OA(3216, 728, F3, 57) (dual of [728, 512, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,363}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,367}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,367}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(3195, 728, F3, 49) (dual of [728, 533, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,363}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(315, 36, F3, 7) (dual of [36, 21, 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(35, 18, F3, 3) (dual of [18, 13, 4]-code or 18-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.