Best Known (108, 108+100, s)-Nets in Base 4
(108, 108+100, 130)-Net over F4 — Constructive and digital
Digital (108, 208, 130)-net over F4, using
- t-expansion [i] based on digital (105, 208, 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
(108, 108+100, 168)-Net over F4 — Digital
Digital (108, 208, 168)-net over F4, using
(108, 108+100, 2034)-Net in Base 4 — Upper bound on s
There is no (108, 208, 2035)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 170948 439520 144329 892396 381085 665180 816448 615540 839937 131902 039601 519752 332775 102002 763996 535139 791124 410080 921693 393752 252575 > 4208 [i]