Information on Result #709837
Linear OA(543, 145, F5, 15) (dual of [145, 102, 16]-code), using construction XX applied to C1 = C([18,31]), C2 = C([23,32]), C3 = C1 + C2 = C([23,31]), and C∩ = C1 ∩ C2 = C([18,32]) based on
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(525, 124, F5, 10) (dual of [124, 99, 11]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {23,24,…,32}, and designed minimum distance d ≥ |I|+1 = 11 [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(522, 124, F5, 9) (dual of [124, 102, 10]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {23,24,…,31}, and designed minimum distance d ≥ |I|+1 = 10 [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(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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.