Best Known (220−104, 220, s)-Nets in Base 4
(220−104, 220, 130)-Net over F4 — Constructive and digital
Digital (116, 220, 130)-net over F4, using
- t-expansion [i] based on digital (105, 220, 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
(220−104, 220, 187)-Net over F4 — Digital
Digital (116, 220, 187)-net over F4, using
(220−104, 220, 2334)-Net in Base 4 — Upper bound on s
There is no (116, 220, 2335)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 899432 546693 754028 751492 886258 871770 988034 504350 393340 435362 746777 149240 021873 066582 609155 151326 198598 624640 214853 584235 605675 791320 > 4220 [i]