MinT - Best Known (64−36, 64, s)-Nets in Base 256

Best Known (64−36, 64, s)-Nets in Base 256

(64−36, 64, 524)-Net over F₂₅₆ — Constructive and digital

Digital (28, 64, 524)-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 (5, 41, 262)-net over F₂₅₆, using
  - net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆ (see above)

(64−36, 64, 1399)-Net over F₂₅₆ — Digital

Digital (28, 64, 1399)-net over F₂₅₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(64−36, 64, large)-Net in Base 256 — Upper bound on s

There is no (28, 64, large)-net in base 256, because

34 times m-reduction [i] would yield (28, 30, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]