Best Known (94, 169, s)-Nets in Base 2
(94, 169, 53)-Net over F2 — Constructive and digital
Digital (94, 169, 53)-net over F2, using
- t-expansion [i] based on digital (90, 169, 53)-net over F2, using
- net from sequence [i] based on digital (90, 52)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 4 places with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (90, 52)-sequence over F2, using
(94, 169, 63)-Net over F2 — Digital
Digital (94, 169, 63)-net over F2, using
(94, 169, 289)-Net in Base 2 — Upper bound on s
There is no (94, 169, 290)-net in base 2, because
- 1 times m-reduction [i] would yield (94, 168, 290)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 385 600396 509533 552162 312008 822527 226846 142917 973424 > 2168 [i]