Best Known (182, 182+76, s)-Nets in Base 2
(182, 182+76, 138)-Net over F2 — Constructive and digital
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
(182, 182+76, 232)-Net over F2 — Digital
Digital (182, 258, 232)-net over F2, using
(182, 182+76, 1606)-Net in Base 2 — Upper bound on s
There is no (182, 258, 1607)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 469646 698082 282232 060630 895942 233768 263892 213315 671265 989152 144998 994427 343150 > 2258 [i]