Information on Result #665236
Linear OA(1665, 131091, F16, 15) (dual of [131091, 131026, 16]-code), using (u, u+v)-construction based on
- linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using
- extended Reed–Solomon code RSe(10,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1658, 131074, F16, 15) (dual of [131074, 131016, 16]-code), using
- trace code [i] based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- trace code [i] based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), 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.