Best Known (202−93, 202, s)-Nets in Base 4
(202−93, 202, 130)-Net over F4 — Constructive and digital
Digital (109, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−93, 202, 188)-Net over F4 — Digital
Digital (109, 202, 188)-net over F4, using
(202−93, 202, 2525)-Net in Base 4 — Upper bound on s
There is no (109, 202, 2526)-net in base 4, because
- 1 times m-reduction [i] would yield (109, 201, 2526)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 10 334403 501563 815823 164697 171271 163001 033988 444387 579385 610848 958421 817337 526967 392945 182293 780440 104639 557847 160752 568448 > 4201 [i]