MinT - Best Known (15, 79, s)-Nets in Base 32

Best Known (15, 79, s)-Nets in Base 32

(15, 79, 120)-Net over F₃₂ — Constructive and digital

Digital (15, 79, 120)-net over F₃₂, using

t-expansion [i] based on digital (11, 79, 120)-net over F₃₂, using
- net from sequence [i] based on digital (11, 119)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
    - a function field by SÃ©mirat [i]

(15, 79, 158)-Net over F₃₂ — Digital

Digital (15, 79, 158)-net over F₃₂, using

net from sequence [i] based on digital (15, 157)-sequence over F₃₂, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 15 and N(F) ≥ 158, using
  - an algebraic function field by Beelen and Pellikaan [i]

(15, 79, 2128)-Net in Base 32 — Upper bound on s

There is no (15, 79, 2129)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 81723 263892 457208 828978 106153 846125 200593 294009 884827 890158 413903 955861 052350 103113 510515 651094 453578 866707 922528 499026 > 32⁷⁹ [i]