Information on Result #664584
Linear OA(16125, 1048597, F16, 23) (dual of [1048597, 1048472, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(165, 7, F16, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- linear OA(167, 7, F16, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,16)), using
- linear OA(167, 7, F16, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,16)) (see above)
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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.