Best Known (120, 120+92, s)-Nets in Base 4
(120, 120+92, 130)-Net over F4 — Constructive and digital
Digital (120, 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
(120, 120+92, 237)-Net over F4 — Digital
Digital (120, 212, 237)-net over F4, using
(120, 120+92, 3533)-Net in Base 4 — Upper bound on s
There is no (120, 212, 3534)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 43 566141 852782 532822 084470 489578 629418 370579 648428 146155 975675 745481 161950 405034 732968 560497 946194 967341 793909 320326 104765 650064 > 4212 [i]