Information on Result #705042
Linear OA(3174, 762, F3, 42) (dual of [762, 588, 43]-code), using construction XX applied to C1 = C([324,364]), C2 = C([330,365]), C3 = C1 + C2 = C([330,364]), and C∩ = C1 ∩ C2 = C([324,365]) based on
- 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(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(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {330,331,…,364}, and designed minimum distance d ≥ |I|+1 = 36 [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(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.