Best Known (136, 136+106, s)-Nets in Base 2
(136, 136+106, 66)-Net over F2 — Constructive and digital
Digital (136, 242, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 121, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
(136, 136+106, 88)-Net over F2 — Digital
Digital (136, 242, 88)-net over F2, using
(136, 136+106, 414)-Net in Base 2 — Upper bound on s
There is no (136, 242, 415)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 7 671200 618360 586279 916574 895371 529159 125840 727297 516190 922781 186758 893168 > 2242 [i]