Best Known (110, 198, s)-Nets in Base 4
(110, 198, 130)-Net over F4 — Constructive and digital
Digital (110, 198, 130)-net over F4, using
- t-expansion [i] based on digital (105, 198, 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
(110, 198, 206)-Net over F4 — Digital
Digital (110, 198, 206)-net over F4, using
(110, 198, 2908)-Net in Base 4 — Upper bound on s
There is no (110, 198, 2909)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 161612 043755 480282 902839 150094 970374 869262 058069 086990 685283 096633 105497 097340 687746 179517 826474 624251 490089 818971 139974 > 4198 [i]