Information on Result #705896
Linear OA(3231, 739, F3, 61) (dual of [739, 508, 62]-code), using construction XX applied to C1 = C([309,367]), C2 = C([307,365]), C3 = C1 + C2 = C([309,365]), and C∩ = C1 ∩ C2 = C([307,367]) based on
- linear OA(3226, 728, F3, 59) (dual of [728, 502, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,367}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,365}, and designed minimum distance d ≥ |I|+1 = 60 [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(3220, 728, F3, 57) (dual of [728, 508, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,365}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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 (see above)
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.