Best Known (239−116, 239, s)-Nets in Base 4
(239−116, 239, 130)-Net over F4 — Constructive and digital
Digital (123, 239, 130)-net over F4, using
- t-expansion [i] based on digital (105, 239, 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
(239−116, 239, 185)-Net over F4 — Digital
Digital (123, 239, 185)-net over F4, using
(239−116, 239, 2217)-Net in Base 4 — Upper bound on s
There is no (123, 239, 2218)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 795863 127472 556043 927702 433130 717469 498970 329990 003297 662891 629331 937451 674935 330354 382974 110587 288471 194472 795340 872497 789927 541839 267218 259200 > 4239 [i]