MinT - Best Known (64, 94, s)-Nets in Base 7

Best Known (64, 94, s)-Nets in Base 7

(64, 94, 204)-Net over F₇ — Constructive and digital

Digital (64, 94, 204)-net over F₇, using

(u,Â u+v)-construction [i] based on
1. digital (17, 32, 102)-net over F₇, using
  - trace code for nets [i] based on digital (1, 16, 51)-net over F₄₉, using
    - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
      - Niederreiter sequence [i]
2. digital (32, 62, 102)-net over F₇, using
  - trace code for nets [i] based on digital (1, 31, 51)-net over F₄₉, using
    - net from sequence [i] based on digital (1, 50)-sequence over F₄₉ (see above)

(64, 94, 1082)-Net over F₇ — Digital

Digital (64, 94, 1082)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(64, 94, 211613)-Net in Base 7 — Upper bound on s

There is no (64, 94, 211614)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 27 493341 885206 484083 808382 079519 676832 053426 806136 144522 720892 315106 820150 715153 > 7⁹⁴ [i]