Best Known (88−36, 88, s)-Nets in Base 3
(88−36, 88, 80)-Net over F3 — Constructive and digital
Digital (52, 88, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 44, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(88−36, 88, 89)-Net over F3 — Digital
Digital (52, 88, 89)-net over F3, using
(88−36, 88, 794)-Net in Base 3 — Upper bound on s
There is no (52, 88, 795)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 971669 178085 343156 487544 155754 869389 345205 > 388 [i]