Best Known (26, 65, s)-Nets in Base 81
(26, 65, 370)-Net over F81 — Constructive and digital
Digital (26, 65, 370)-net over F81, using
- t-expansion [i] based on digital (16, 65, 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, 65, 500)-Net over F81 — Digital
Digital (26, 65, 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, 65, 265883)-Net in Base 81 — Upper bound on s
There is no (26, 65, 265884)-net in base 81, because
- 1 times m-reduction [i] would yield (26, 64, 265884)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 139 012443 621043 689296 946388 114713 790016 439739 056064 586033 363333 749579 619473 979952 511490 090075 491346 348283 226889 797065 711681 > 8164 [i]