Information on Result #704046
Linear OA(3159, 381, F3, 42) (dual of [381, 222, 43]-code), using construction XX applied to C1 = C([155,195]), C2 = C([158,197]), C3 = C1 + C2 = C([158,195]), and C∩ = C1 ∩ C2 = C([155,197]) based on
- linear OA(3154, 364, F3, 41) (dual of [364, 210, 42]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {155,156,…,195}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3145, 364, F3, 40) (dual of [364, 219, 41]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {158,159,…,197}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3157, 364, F3, 43) (dual of [364, 207, 44]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {155,156,…,197}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3142, 364, F3, 38) (dual of [364, 222, 39]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {158,159,…,195}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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
- 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 (see above)
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.