Best Known (35, 67, s)-Nets in Base 4
(35, 67, 56)-Net over F4 — Constructive and digital
Digital (35, 67, 56)-net over F4, using
- t-expansion [i] based on digital (33, 67, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the 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) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
(35, 67, 68)-Net over F4 — Digital
Digital (35, 67, 68)-net over F4, using
(35, 67, 739)-Net in Base 4 — Upper bound on s
There is no (35, 67, 740)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 21863 731819 279859 988604 305502 774439 954410 > 467 [i]