Best Known (28, 28+78, s)-Nets in Base 5
(28, 28+78, 51)-Net over F5 — Constructive and digital
Digital (28, 106, 51)-net over F5, using
- t-expansion [i] based on digital (22, 106, 51)-net over F5, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
(28, 28+78, 55)-Net over F5 — Digital
Digital (28, 106, 55)-net over F5, using
- t-expansion [i] based on digital (23, 106, 55)-net over F5, using
- net from sequence [i] based on digital (23, 54)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 23 and N(F) ≥ 55, using
- net from sequence [i] based on digital (23, 54)-sequence over F5, using
(28, 28+78, 277)-Net in Base 5 — Upper bound on s
There is no (28, 106, 278)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 127 163532 781997 310828 593813 581745 566297 452246 747379 476067 433217 893126 357625 > 5106 [i]