Information on Result #705394
Linear OA(3217, 773, F3, 51) (dual of [773, 556, 52]-code), using construction XX applied to C1 = C([315,363]), C2 = C([322,365]), C3 = C1 + C2 = C([322,363]), and C∩ = C1 ∩ C2 = C([315,365]) based on
- 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(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,365}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,365}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3165, 728, F3, 42) (dual of [728, 563, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,363}, and designed minimum distance d ≥ |I|+1 = 43 [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(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.