Best Known (103, 164, s)-Nets in Base 2
(103, 164, 68)-Net over F2 — Constructive and digital
Digital (103, 164, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 82, 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
(103, 164, 92)-Net over F2 — Digital
Digital (103, 164, 92)-net over F2, using
(103, 164, 477)-Net in Base 2 — Upper bound on s
There is no (103, 164, 478)-net in base 2, because
- 1 times m-reduction [i] would yield (103, 163, 478)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 11 953141 048129 083259 710853 453702 682398 415111 072312 > 2163 [i]