Best Known (203−94, 203, s)-Nets in Base 4
(203−94, 203, 130)-Net over F4 — Constructive and digital
Digital (109, 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
(203−94, 203, 185)-Net over F4 — Digital
Digital (109, 203, 185)-net over F4, using
(203−94, 203, 2401)-Net in Base 4 — Upper bound on s
There is no (109, 203, 2402)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 167 103017 147638 839194 346578 384571 950484 129928 590230 558098 793813 837054 926078 129132 801234 090843 424472 607648 569750 035019 547360 > 4203 [i]