Information on Result #705777
Linear OA(3241, 761, F3, 60) (dual of [761, 520, 61]-code), using construction XX applied to C1 = C([306,364]), C2 = C([313,365]), C3 = C1 + C2 = C([313,364]), and C∩ = C1 ∩ C2 = C([306,365]) based on
- 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 = {306,307,…,364}, and designed minimum distance d ≥ |I|+1 = 60 [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(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {313,314,…,364}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(312, 27, F3, 6) (dual of [27, 15, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 34, F3, 6) (dual of [34, 22, 7]-code), using
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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.