Best Known (207−84, 207, s)-Nets in Base 4
(207−84, 207, 130)-Net over F4 — Constructive and digital
Digital (123, 207, 130)-net over F4, using
- t-expansion [i] based on digital (105, 207, 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
(207−84, 207, 287)-Net over F4 — Digital
Digital (123, 207, 287)-net over F4, using
(207−84, 207, 5070)-Net in Base 4 — Upper bound on s
There is no (123, 207, 5071)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 42530 866517 473714 911929 463480 674803 101308 379830 272044 786595 494040 007485 064145 331693 245958 659569 419498 527832 586911 582045 645330 > 4207 [i]