Best Known (2, 6, s)-Nets in Base 16
(2, 6, 120)-Net over F16 — Constructive and digital
Digital (2, 6, 120)-net over F16, using
- net defined by OOA [i] based on linear OOA(166, 120, F16, 4, 4) (dual of [(120, 4), 474, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- 1 times truncation [i] based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
(2, 6, 385)-Net in Base 16 — Upper bound on s
There is no (2, 6, 386)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 16 817056 > 166 [i]