Best Known (183−70, 183, s)-Nets in Base 4
(183−70, 183, 130)-Net over F4 — Constructive and digital
Digital (113, 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
(183−70, 183, 315)-Net over F4 — Digital
Digital (113, 183, 315)-net over F4, using
(183−70, 183, 6488)-Net in Base 4 — Upper bound on s
There is no (113, 183, 6489)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 150 703643 364193 192787 925973 622390 509422 975373 068195 901042 964704 389137 627033 480737 820679 970209 449764 572965 202448 > 4183 [i]