MinT - Best Known (11, 84, s)-Nets in Base 32

Best Known (11, 84, s)-Nets in Base 32

(11, 84, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 84, 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]

(11, 84, 1341)-Net in Base 32 — Upper bound on s

There is no (11, 84, 1342)-net in base 32, because

1 times m-reduction [i] would yield (11, 83, 1342)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 85675 291101 583856 684347 269580 148223 529218 537323 763330 499406 876673 759997 104426 913123 994264 438079 837805 018501 222300 388684 391525 > 32⁸³ [i]