Best Known (85, 130, s)-Nets in Base 9
(85, 130, 740)-Net over F9 — Constructive and digital
Digital (85, 130, 740)-net over F9, using
- 8 times m-reduction [i] based on digital (85, 138, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 69, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- trace code for nets [i] based on digital (16, 69, 370)-net over F81, using
(85, 130, 1445)-Net over F9 — Digital
Digital (85, 130, 1445)-net over F9, using
(85, 130, 445739)-Net in Base 9 — Upper bound on s
There is no (85, 130, 445740)-net in base 9, because
- 1 times m-reduction [i] would yield (85, 129, 445740)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 1251 101433 604955 660290 036077 111430 558747 127293 696853 290394 274835 216069 388987 616707 598897 274010 233667 514234 553495 750098 784961 > 9129 [i]