Best Known (75−56, 75, s)-Nets in Base 81
(75−56, 75, 370)-Net over F81 — Constructive and digital
Digital (19, 75, 370)-net over F81, using
- t-expansion [i] based on digital (16, 75, 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
(75−56, 75, 18264)-Net in Base 81 — Upper bound on s
There is no (19, 75, 18265)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 137071 063575 956977 276246 577697 125648 316124 171407 898284 075039 925824 383892 228201 896271 372229 139697 309610 247556 168398 519187 749472 017520 410914 577601 > 8175 [i]