Best Known (26, 82, s)-Nets in Base 81
(26, 82, 370)-Net over F81 — Constructive and digital
Digital (26, 82, 370)-net over F81, using
- t-expansion [i] based on digital (16, 82, 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
(26, 82, 500)-Net over F81 — Digital
Digital (26, 82, 500)-net over F81, using
- net from sequence [i] based on digital (26, 499)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 26 and N(F) ≥ 500, using
(26, 82, 54820)-Net in Base 81 — Upper bound on s
There is no (26, 82, 54821)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3 133034 206963 336053 176080 962484 835015 414568 777644 938141 523440 298593 444234 952311 941437 659899 552758 946987 617630 797796 403117 845525 011554 212268 863984 353752 226241 > 8182 [i]