Information on Result #710100
Linear OA(577, 133, F5, 38) (dual of [133, 56, 39]-code), using construction XX applied to C1 = C([26,62]), C2 = C([30,63]), C3 = C1 + C2 = C([30,62]), and C∩ = C1 ∩ C2 = C([26,63]) based on
- linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,62}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {30,31,…,63}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,63}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {30,31,…,62}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
- 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.