Best Known (116, 196, s)-Nets in Base 4
(116, 196, 130)-Net over F4 — Constructive and digital
Digital (116, 196, 130)-net over F4, using
- t-expansion [i] based on digital (105, 196, 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
(116, 196, 269)-Net over F4 — Digital
Digital (116, 196, 269)-net over F4, using
(116, 196, 4652)-Net in Base 4 — Upper bound on s
There is no (116, 196, 4653)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10100 732107 620623 143992 220915 601465 941034 609053 727767 245889 233444 622847 161034 772640 189764 757288 339592 882175 676707 856183 > 4196 [i]