Information on Result #956812
Linear OOA(3226, 254, F3, 3, 56) (dual of [(254, 3), 536, 57]-NRT-code), using OOA 3-folding based on linear OA(3226, 762, F3, 56) (dual of [762, 536, 57]-code), using
- construction XX applied to C1 = C([340,392]), C2 = C([337,386]), C3 = C1 + C2 = C([340,386]), and C∩ = C1 ∩ C2 = C([337,392]) [i] based on
- 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 = {340,341,…,392}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3199, 728, F3, 50) (dual of [728, 529, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,386}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- 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 = {337,338,…,392}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(3187, 728, F3, 47) (dual of [728, 541, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,386}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(38, 24, F3, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(33, 10, F3, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), 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.