MinT - Best Known (66−37, 66, s)-Nets in Base 256

Best Known (66−37, 66, s)-Nets in Base 256

(66−37, 66, 525)-Net over F₂₅₆ — Constructive and digital

Digital (29, 66, 525)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. digital (5, 23, 262)-net over F₂₅₆, using
  - net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆, using
    - Niederreiter sequence [i]
2. digital (6, 43, 263)-net over F₂₅₆, using
  - net from sequence [i] based on digital (6, 262)-sequence over F₂₅₆, using
    - Niederreiter sequence [i]

(66−37, 66, 1475)-Net over F₂₅₆ — Digital

Digital (29, 66, 1475)-net over F₂₅₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(66−37, 66, large)-Net in Base 256 — Upper bound on s

There is no (29, 66, large)-net in base 256, because

35 times m-reduction [i] would yield (29, 31, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]