Best Known (191−122, 191, s)-Nets in Base 2
(191−122, 191, 48)-Net over F2 — Constructive and digital
Digital (69, 191, 48)-net over F2, using
- net from sequence [i] based on digital (69, 47)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using
(191−122, 191, 49)-Net over F2 — Digital
Digital (69, 191, 49)-net over F2, using
- t-expansion [i] based on digital (68, 191, 49)-net over F2, using
- net from sequence [i] based on digital (68, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 68 and N(F) ≥ 49, using
- net from sequence [i] based on digital (68, 48)-sequence over F2, using
(191−122, 191, 130)-Net in Base 2 — Upper bound on s
There is no (69, 191, 131)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 3830 788399 415638 311183 662139 896404 439007 841317 195009 736704 > 2191 [i]