Best Known (204−98, 204, s)-Nets in Base 4
(204−98, 204, 130)-Net over F4 — Constructive and digital
Digital (106, 204, 130)-net over F4, using
- t-expansion [i] based on digital (105, 204, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second 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) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(204−98, 204, 166)-Net over F4 — Digital
Digital (106, 204, 166)-net over F4, using
(204−98, 204, 2005)-Net in Base 4 — Upper bound on s
There is no (106, 204, 2006)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 675 378769 746886 626413 720139 234629 236089 668369 999598 743814 671389 808248 008554 860831 531196 895080 699417 180872 355241 277965 500146 > 4204 [i]