Best Known (206−88, 206, s)-Nets in Base 4
(206−88, 206, 130)-Net over F4 — Constructive and digital
Digital (118, 206, 130)-net over F4, using
- t-expansion [i] based on digital (105, 206, 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
(206−88, 206, 243)-Net over F4 — Digital
Digital (118, 206, 243)-net over F4, using
(206−88, 206, 3753)-Net in Base 4 — Upper bound on s
There is no (118, 206, 3754)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10691 490483 035404 184925 364365 739576 573702 244646 816655 045810 366881 384380 923146 022881 040293 040398 140484 289387 195510 946866 501024 > 4206 [i]