Information on Result #705768
Linear OA(3244, 771, F3, 60) (dual of [771, 527, 61]-code), using construction XX applied to C1 = C([306,363]), C2 = C([313,365]), C3 = C1 + C2 = C([313,363]), and C∩ = C1 ∩ C2 = C([306,365]) based on
- linear OA(3222, 728, F3, 58) (dual of [728, 506, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {306,307,…,363}, and designed minimum distance d ≥ |I|+1 = 59 [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 = {313,314,…,365}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3229, 728, F3, 60) (dual of [728, 499, 61]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {306,307,…,365}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(3201, 728, F3, 51) (dual of [728, 527, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {313,314,…,363}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(314, 35, F3, 6) (dual of [35, 21, 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.