Information on Result #705037
Linear OA(3175, 764, F3, 42) (dual of [764, 589, 43]-code), using construction XX applied to C1 = C([324,363]), C2 = C([330,365]), C3 = C1 + C2 = C([330,363]), and C∩ = C1 ∩ C2 = C([324,365]) based on
- linear OA(3159, 728, F3, 40) (dual of [728, 569, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,363}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3142, 728, F3, 36) (dual of [728, 586, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {330,331,…,365}, and designed minimum distance d ≥ |I|+1 = 37 [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(3135, 728, F3, 34) (dual of [728, 593, 35]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {330,331,…,363}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- 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.