Information on Result #664676
Linear OA(16117, 1048594, F16, 22) (dual of [1048594, 1048477, 23]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(167, 9, F16, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OA(169, 9, F16, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,16)), using
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.