Best Known (110, 110+98, s)-Nets in Base 4
(110, 110+98, 130)-Net over F4 — Constructive and digital
Digital (110, 208, 130)-net over F4, using
- t-expansion [i] based on digital (105, 208, 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, 110+98, 180)-Net over F4 — Digital
Digital (110, 208, 180)-net over F4, using
(110, 110+98, 2250)-Net in Base 4 — Upper bound on s
There is no (110, 208, 2251)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 172449 313983 167028 824280 834487 069682 365888 523011 074859 253308 733159 585949 032229 114242 573391 058337 999552 895217 255980 338390 782264 > 4208 [i]