Best Known (118, 222, s)-Nets in Base 4
(118, 222, 130)-Net over F4 — Constructive and digital
Digital (118, 222, 130)-net over F4, using
- t-expansion [i] based on digital (105, 222, 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
(118, 222, 194)-Net over F4 — Digital
Digital (118, 222, 194)-net over F4, using
(118, 222, 2464)-Net in Base 4 — Upper bound on s
There is no (118, 222, 2465)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 46 205086 387397 674190 071787 568444 554828 448485 847987 944407 414688 402379 182565 898869 719239 029084 604843 461087 055132 153042 063806 354356 253280 > 4222 [i]