Best Known (203−96, 203, s)-Nets in Base 4
(203−96, 203, 130)-Net over F4 — Constructive and digital
Digital (107, 203, 130)-net over F4, using
- t-expansion [i] based on digital (105, 203, 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
(203−96, 203, 174)-Net over F4 — Digital
Digital (107, 203, 174)-net over F4, using
(203−96, 203, 2158)-Net in Base 4 — Upper bound on s
There is no (107, 203, 2159)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 168 822435 475696 406794 798600 414252 571915 927779 830521 705254 196995 458921 223589 884577 301201 454799 956311 483762 201515 426785 667956 > 4203 [i]