Information on Result #665109
Linear OA(1697, 131089, F16, 22) (dual of [131089, 130992, 23]-code), using (u, u+v)-construction based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(1686, 131072, F16, 22) (dual of [131072, 130986, 23]-code), using
- trace code [i] based on linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- trace code [i] based on linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-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.