Best Known (103, 209, s)-Nets in Base 4
(103, 209, 104)-Net over F4 — Constructive and digital
Digital (103, 209, 104)-net over F4, using
- t-expansion [i] based on digital (73, 209, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(103, 209, 144)-Net over F4 — Digital
Digital (103, 209, 144)-net over F4, using
- t-expansion [i] based on digital (91, 209, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(103, 209, 1581)-Net in Base 4 — Upper bound on s
There is no (103, 209, 1582)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 683764 784406 536069 824269 034914 652971 152488 804054 446311 158323 373229 913185 531824 014236 776377 711335 486737 102554 851895 951427 770400 > 4209 [i]