Information on Result #1785398
Digital (17, 22, 4808)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(522, 4808, F5, 5) (dual of [4808, 4786, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(51, 1202, F5, 1) (dual of [1202, 1201, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(51, 1202, F5, 1) (dual of [1202, 1201, 2]-code) (see above)
- linear OA(56, 1202, F5, 2) (dual of [1202, 1196, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 3125, F5, 2) (dual of [3125, 3119, 3]-code), using
- an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(56, 3125, F5, 2) (dual of [3125, 3119, 3]-code), using
- linear OA(514, 1202, F5, 5) (dual of [1202, 1188, 6]-code), using
- trace code [i] based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- linear OA(51, 1202, F5, 1) (dual of [1202, 1201, 2]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.