MinT - Best Known (62−35, 62, s)-Nets in Base 256

Best Known (62−35, 62, s)-Nets in Base 256

(62−35, 62, 524)-Net over F₂₅₆ — Constructive and digital

Digital (27, 62, 524)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. digital (5, 22, 262)-net over F₂₅₆, using
  - net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆, using
    - Niederreiter sequence [i]
2. digital (5, 40, 262)-net over F₂₅₆, using
  - net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆ (see above)

(62−35, 62, 1325)-Net over F₂₅₆ — Digital

Digital (27, 62, 1325)-net over F₂₅₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(62−35, 62, large)-Net in Base 256 — Upper bound on s

There is no (27, 62, large)-net in base 256, because

33 times m-reduction [i] would yield (27, 29, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]