Best Known (110, 110+102, s)-Nets in Base 4
(110, 110+102, 130)-Net over F4 — Constructive and digital
Digital (110, 212, 130)-net over F4, using
- t-expansion [i] based on digital (105, 212, 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+102, 171)-Net over F4 — Digital
Digital (110, 212, 171)-net over F4, using
(110, 110+102, 2064)-Net in Base 4 — Upper bound on s
There is no (110, 212, 2065)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 44 268793 479667 224123 513460 946793 472657 797491 818546 117818 180956 147394 831196 030545 144720 417536 603031 387326 432176 008502 222319 761408 > 4212 [i]