Best Known (76, 142, s)-Nets in Base 9
(76, 142, 320)-Net over F9 — Constructive and digital
Digital (76, 142, 320)-net over F9, using
- trace code for nets [i] based on digital (5, 71, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
(76, 142, 362)-Net over F9 — Digital
Digital (76, 142, 362)-net over F9, using
(76, 142, 20988)-Net in Base 9 — Upper bound on s
There is no (76, 142, 20989)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 3182 312675 582273 036571 325479 962553 797554 762677 990360 670621 546510 920351 334375 471770 691640 733704 420787 499079 793964 499065 353348 253436 311785 > 9142 [i]