Information on Result #703994
Linear OA(3137, 381, F3, 37) (dual of [381, 244, 38]-code), using construction XX applied to C1 = C([161,195]), C2 = C([164,197]), C3 = C1 + C2 = C([164,195]), and C∩ = C1 ∩ C2 = C([161,197]) based on
- linear OA(3130, 364, F3, 35) (dual of [364, 234, 36]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,195}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3121, 364, F3, 34) (dual of [364, 243, 35]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {164,165,…,197}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3133, 364, F3, 37) (dual of [364, 231, 38]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,197}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3118, 364, F3, 32) (dual of [364, 246, 33]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {164,165,…,195}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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.