Best Known (13, 77, s)-Nets in Base 25
(13, 77, 126)-Net over F25 — Constructive and digital
Digital (13, 77, 126)-net over F25, using
- t-expansion [i] based on digital (10, 77, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(13, 77, 1214)-Net in Base 25 — Upper bound on s
There is no (13, 77, 1215)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 440214 732172 731290 032588 103858 153548 720216 479507 278792 383574 609356 531937 404840 526531 820170 622224 144388 046081 > 2577 [i]