Best Known (203−86, 203, s)-Nets in Base 4
(203−86, 203, 130)-Net over F4 — Constructive and digital
Digital (117, 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
(203−86, 203, 246)-Net over F4 — Digital
Digital (117, 203, 246)-net over F4, using
(203−86, 203, 3878)-Net in Base 4 — Upper bound on s
There is no (117, 203, 3879)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 165 490376 186986 677991 919768 741268 249962 208107 705087 477840 973078 734858 475885 980159 660899 598426 930598 194904 910203 674768 972032 > 4203 [i]