Information on Result #665191
Linear OA(1679, 131089, F16, 18) (dual of [131089, 131010, 19]-code), using (u, u+v)-construction based on
- linear OA(169, 17, F16, 9) (dual of [17, 8, 10]-code or 17-arc in PG(8,16)), using
- extended Reed–Solomon code RSe(8,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(1670, 131072, F16, 18) (dual of [131072, 131002, 19]-code), using
- trace code [i] based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- trace code [i] based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-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.