Information on Result #956920
Linear OOA(3228, 253, F3, 3, 57) (dual of [(253, 3), 531, 58]-NRT-code), using OOA 3-folding based on linear OA(3228, 759, F3, 57) (dual of [759, 531, 58]-code), using
- discarding factors / shortening the dual code based on linear OA(3228, 760, F3, 57) (dual of [760, 532, 58]-code), using
- construction XX applied to C1 = C([309,364]), C2 = C([315,365]), C3 = C1 + C2 = C([315,364]), and C∩ = C1 ∩ C2 = C([309,365]) [i] based on
- linear OA(3214, 728, F3, 56) (dual of [728, 514, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,364}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,365}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3220, 728, F3, 57) (dual of [728, 508, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,365}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,364}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(38, 26, F3, 5) (dual of [26, 18, 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
- construction XX applied to C1 = C([309,364]), C2 = C([315,365]), C3 = C1 + C2 = C([315,364]), and C∩ = C1 ∩ C2 = C([309,365]) [i] based on
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.