Best Known (161, 161+96, s)-Nets in Base 4
(161, 161+96, 200)-Net over F4 — Constructive and digital
Digital (161, 257, 200)-net over F4, using
- net from sequence [i] based on digital (161, 199)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 161 and N(F) ≥ 200, using
- F7 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 161 and N(F) ≥ 200, using
(161, 161+96, 459)-Net over F4 — Digital
Digital (161, 257, 459)-net over F4, using
(161, 161+96, 10412)-Net in Base 4 — Upper bound on s
There is no (161, 257, 10413)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 53748 477178 158196 308001 796920 407094 295816 602736 531612 385357 134111 290071 017322 729670 025242 338943 773434 416115 758010 504017 061676 336500 218037 589387 311850 280120 > 4257 [i]