Best Known (25, 25+72, s)-Nets in Base 7
(25, 25+72, 31)-Net over F7 — Constructive and digital
Digital (25, 97, 31)-net over F7, using
- net from sequence [i] based on digital (25, 30)-sequence over F7, using
(25, 25+72, 72)-Net over F7 — Digital
Digital (25, 97, 72)-net over F7, using
- t-expansion [i] based on digital (22, 97, 72)-net over F7, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 22 and N(F) ≥ 72, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
(25, 25+72, 427)-Net in Base 7 — Upper bound on s
There is no (25, 97, 428)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 9938 923334 062415 843301 044097 618574 830415 988311 468413 575591 010100 040211 657752 791489 > 797 [i]