Information on Result #705304
Linear OA(3182, 750, F3, 45) (dual of [750, 568, 46]-code), using construction XX applied to C1 = C([321,364]), C2 = C([324,365]), C3 = C1 + C2 = C([324,364]), and C∩ = C1 ∩ C2 = C([321,365]) based on
- 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 = {321,322,…,364}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3166, 728, F3, 42) (dual of [728, 562, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,365}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3178, 728, F3, 45) (dual of [728, 550, 46]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {321,322,…,365}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3160, 728, F3, 41) (dual of [728, 568, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,364}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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.