Best Known (115, 115+68, s)-Nets in Base 2
(115, 115+68, 68)-Net over F2 — Constructive and digital
Digital (115, 183, 68)-net over F2, using
- 5 times m-reduction [i] based on digital (115, 188, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 94, 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
- trace code for nets [i] based on digital (21, 94, 34)-net over F4, using
(115, 115+68, 101)-Net over F2 — Digital
Digital (115, 183, 101)-net over F2, using
(115, 115+68, 516)-Net in Base 2 — Upper bound on s
There is no (115, 183, 517)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 12 984701 105099 883207 453722 615576 596304 127263 549455 663200 > 2183 [i]