Best Known (108, 108+66, s)-Nets in Base 2
(108, 108+66, 68)-Net over F2 — Constructive and digital
Digital (108, 174, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 87, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 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) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
(108, 108+66, 93)-Net over F2 — Digital
Digital (108, 174, 93)-net over F2, using
(108, 108+66, 461)-Net in Base 2 — Upper bound on s
There is no (108, 174, 462)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 24078 672978 744671 977233 213465 454465 940517 548613 917950 > 2174 [i]