Information on Result #705542
Linear OA(3233, 785, F3, 54) (dual of [785, 552, 55]-code), using construction XX applied to C1 = C([337,386]), C2 = C([333,379]), C3 = C1 + C2 = C([337,379]), and C∩ = C1 ∩ C2 = C([333,386]) based on
- linear OA(3199, 728, F3, 50) (dual of [728, 529, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,386}, and designed minimum distance d ≥ |I|+1 = 51 [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 = {333,334,…,379}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3214, 728, F3, 54) (dual of [728, 514, 55]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,386}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(3169, 728, F3, 43) (dual of [728, 559, 44]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,379}, and designed minimum distance d ≥ |I|+1 = 44 [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.