Best Known (259−76, 259, s)-Nets in Base 2
(259−76, 259, 138)-Net over F2 — Constructive and digital
Digital (183, 259, 138)-net over F2, using
- 21 times duplication [i] based on digital (182, 258, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 86, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- trace code for nets [i] based on digital (10, 86, 46)-net over F8, using
(259−76, 259, 235)-Net over F2 — Digital
Digital (183, 259, 235)-net over F2, using
(259−76, 259, 1636)-Net in Base 2 — Upper bound on s
There is no (183, 259, 1637)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 926916 777273 093597 713579 442780 743803 312721 497604 599993 304244 611846 090376 159300 > 2259 [i]