Best Known (29−17, 29, s)-Nets in Base 5
(29−17, 29, 33)-Net over F5 — Constructive and digital
Digital (12, 29, 33)-net over F5, using
- net from sequence [i] based on digital (12, 32)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 11, N(F) = 32, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
(29−17, 29, 257)-Net in Base 5 — Upper bound on s
There is no (12, 29, 258)-net in base 5, because
- 1 times m-reduction [i] would yield (12, 28, 258)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 37 725928 338379 840385 > 528 [i]