Information on Result #709929
Linear OA(556, 149, F5, 20) (dual of [149, 93, 21]-code), using construction XX applied to C1 = C([20,37]), C2 = C([18,32]), C3 = C1 + C2 = C([20,32]), and C∩ = C1 ∩ C2 = C([18,37]) based on
- linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,37}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(537, 124, F5, 15) (dual of [124, 87, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,32}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(549, 124, F5, 20) (dual of [124, 75, 21]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,37}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(531, 124, F5, 13) (dual of [124, 93, 14]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,32}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(56, 18, F5, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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.