Best Known (35, 35+27, s)-Nets in Base 5
(35, 35+27, 132)-Net over F5 — Constructive and digital
Digital (35, 62, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 31, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(35, 35+27, 2689)-Net in Base 5 — Upper bound on s
There is no (35, 62, 2690)-net in base 5, because
- 1 times m-reduction [i] would yield (35, 61, 2690)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 4 351467 331527 152750 504123 363559 529229 256201 > 561 [i]