Best Known (110, 110+44, s)-Nets in Base 2
(110, 110+44, 112)-Net over F2 — Constructive and digital
Digital (110, 154, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 77, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the 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) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
(110, 110+44, 161)-Net over F2 — Digital
Digital (110, 154, 161)-net over F2, using
(110, 110+44, 1126)-Net in Base 2 — Upper bound on s
There is no (110, 154, 1127)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 22899 027095 903231 864943 830780 196986 685621 594498 > 2154 [i]