Best Known (11, 11+56, s)-Nets in Base 25
(11, 11+56, 126)-Net over F25 — Constructive and digital
Digital (11, 67, 126)-net over F25, using
- t-expansion [i] based on digital (10, 67, 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
(11, 11+56, 1027)-Net in Base 25 — Upper bound on s
There is no (11, 67, 1028)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4669 827271 177804 617096 319576 112198 380501 970510 343509 727760 410825 569533 047852 561325 739597 591425 > 2567 [i]