Best Known (52−39, 52, s)-Nets in Base 9
(52−39, 52, 64)-Net over F9 — Constructive and digital
Digital (13, 52, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
(52−39, 52, 349)-Net in Base 9 — Upper bound on s
There is no (13, 52, 350)-net in base 9, because
- 1 times m-reduction [i] would yield (13, 51, 350)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 4 703052 568710 512029 799897 828667 467386 992770 715281 > 951 [i]