Best Known (167, 235, s)-Nets in Base 2
(167, 235, 138)-Net over F2 — Constructive and digital
Digital (167, 235, 138)-net over F2, using
- 21 times duplication [i] based on digital (166, 234, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 78, 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, 78, 46)-net over F8, using
(167, 235, 223)-Net over F2 — Digital
Digital (167, 235, 223)-net over F2, using
(167, 235, 1579)-Net in Base 2 — Upper bound on s
There is no (167, 235, 1580)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 55253 283428 508196 154933 992991 057428 172517 527546 601043 540716 989532 043755 > 2235 [i]