Best Known (183−74, 183, s)-Nets in Base 4
(183−74, 183, 130)-Net over F4 — Constructive and digital
Digital (109, 183, 130)-net over F4, using
- t-expansion [i] based on digital (105, 183, 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
(183−74, 183, 261)-Net over F4 — Digital
Digital (109, 183, 261)-net over F4, using
(183−74, 183, 4610)-Net in Base 4 — Upper bound on s
There is no (109, 183, 4611)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 151 449995 788028 615942 759284 706039 331473 370664 550383 221266 322535 266114 890685 801902 912814 304984 186098 638995 134208 > 4183 [i]