Best Known (197, 197+59, s)-Nets in Base 4
(197, 197+59, 1048)-Net over F4 — Constructive and digital
Digital (197, 256, 1048)-net over F4, using
- trace code for nets [i] based on digital (5, 64, 262)-net over F256, using
- net from sequence [i] based on digital (5, 261)-sequence over F256, using
(197, 197+59, 3429)-Net over F4 — Digital
Digital (197, 256, 3429)-net over F4, using
(197, 197+59, 765531)-Net in Base 4 — Upper bound on s
There is no (197, 256, 765532)-net in base 4, because
- 1 times m-reduction [i] would yield (197, 255, 765532)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 3352 000321 092273 163734 115730 866778 539588 372044 934479 640171 033836 563085 270416 908272 940494 527509 688506 850154 189014 905100 478100 039979 102695 797709 306514 320528 > 4255 [i]