Best Known (76, 76+42, s)-Nets in Base 3
(76, 76+42, 148)-Net over F3 — Constructive and digital
Digital (76, 118, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 59, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(76, 76+42, 169)-Net over F3 — Digital
Digital (76, 118, 169)-net over F3, using
(76, 76+42, 2061)-Net in Base 3 — Upper bound on s
There is no (76, 118, 2062)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 201 003403 079897 316708 520943 423997 398015 375339 572884 357525 > 3118 [i]