Best Known (118, 118+76, s)-Nets in Base 2
(118, 118+76, 68)-Net over F2 — Constructive and digital
Digital (118, 194, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 97, 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
(118, 118+76, 94)-Net over F2 — Digital
Digital (118, 194, 94)-net over F2, using
(118, 118+76, 463)-Net in Base 2 — Upper bound on s
There is no (118, 194, 464)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 26355 902101 868027 281426 884265 230371 618692 370407 241136 771130 > 2194 [i]