Information on Result #664606
Linear OA(16121, 4123, F16, 35) (dual of [4123, 4002, 36]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1611, 13, F16, 11) (dual of [13, 2, 12]-code or 13-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- linear OA(1613, 13, F16, 13) (dual of [13, 0, 14]-code or 13-arc in PG(12,16)), using
- linear OA(1697, 4097, F16, 35) (dual of [4097, 4000, 36]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
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.