Best Known (26, 26+54, s)-Nets in Base 81
(26, 26+54, 370)-Net over F81 — Constructive and digital
Digital (26, 80, 370)-net over F81, using
- t-expansion [i] based on digital (16, 80, 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, 26+54, 500)-Net over F81 — Digital
Digital (26, 80, 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, 26+54, 61658)-Net in Base 81 — Upper bound on s
There is no (26, 80, 61659)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 477 405922 737238 621725 862834 645548 737233 821510 788939 586939 466400 914645 403313 345909 695497 358054 323395 304591 344826 258623 415262 853948 461560 700198 917038 591441 > 8180 [i]