MinT - Best Known (79−50, 79, s)-Nets in Base 25

Best Known (79−50, 79, s)-Nets in Base 25

(79−50, 79, 200)-Net over F₂₅ — Constructive and digital

Digital (29, 79, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 79, 200)-net over F₂₅, using
- net from sequence [i] based on digital (25, 199)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
    - a function field by GarcÃa and Quoos [i]

(79−50, 79, 11076)-Net in Base 25 — Upper bound on s

There is no (29, 79, 11077)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 274 133029 986104 122054 934565 591317 458137 558377 012041 684766 234348 078428 590298 466407 873405 019108 691610 365044 444857 > 25⁷⁹ [i]