Best Known (176−43, 176, s)-Nets in Base 4
(176−43, 176, 1032)-Net over F4 — Constructive and digital
Digital (133, 176, 1032)-net over F4, using
- trace code for nets [i] based on digital (1, 44, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(176−43, 176, 1856)-Net over F4 — Digital
Digital (133, 176, 1856)-net over F4, using
(176−43, 176, 300963)-Net in Base 4 — Upper bound on s
There is no (133, 176, 300964)-net in base 4, because
- 1 times m-reduction [i] would yield (133, 175, 300964)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2293 628745 463473 051037 422789 911093 693386 671432 443304 280607 346296 096593 169550 518581 408799 885083 239026 218168 > 4175 [i]