Best Known (10, 73, s)-Nets in Base 25
(10, 73, 126)-Net over F25 — Constructive and digital
Digital (10, 73, 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
(10, 73, 897)-Net in Base 25 — Upper bound on s
There is no (10, 73, 898)-net in base 25, because
- 1 times m-reduction [i] would yield (10, 72, 898)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 46151 797066 820885 681903 357206 915814 517148 548942 906847 003123 442123 480700 779954 762773 665094 311460 838545 > 2572 [i]