Best Known (114, 194, s)-Nets in Base 4
(114, 194, 130)-Net over F4 — Constructive and digital
Digital (114, 194, 130)-net over F4, using
- t-expansion [i] based on digital (105, 194, 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
(114, 194, 258)-Net over F4 — Digital
Digital (114, 194, 258)-net over F4, using
(114, 194, 4339)-Net in Base 4 — Upper bound on s
There is no (114, 194, 4340)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 635 840438 343604 279343 323361 562421 134959 407617 714025 684332 749144 844159 791464 247272 842100 531401 426795 649826 939115 220390 > 4194 [i]