Best Known (202−80, 202, s)-Nets in Base 4
(202−80, 202, 130)-Net over F4 — Constructive and digital
Digital (122, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−80, 202, 305)-Net over F4 — Digital
Digital (122, 202, 305)-net over F4, using
(202−80, 202, 5735)-Net in Base 4 — Upper bound on s
There is no (122, 202, 5736)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 353256 740736 293003 123661 072885 596388 518088 460977 259877 424977 755286 145352 011327 667147 099445 915472 059449 289766 808688 807480 > 4202 [i]