Best Known (10, 76, s)-Nets in Base 81
(10, 76, 172)-Net over F81 — Constructive and digital
Digital (10, 76, 172)-net over F81, using
- t-expansion [i] based on digital (7, 76, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(10, 76, 244)-Net over F81 — Digital
Digital (10, 76, 244)-net over F81, using
- t-expansion [i] based on digital (9, 76, 244)-net over F81, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
(10, 76, 4072)-Net in Base 81 — Upper bound on s
There is no (10, 76, 4073)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 11 169910 316599 362579 548207 217472 395235 334375 553055 329660 302562 437017 416483 345624 266494 347751 083014 975614 165269 259499 059632 023391 923188 919627 571921 > 8176 [i]