MinT - Best Known (44, 76, s)-Nets in Base 7

Best Known (44, 76, s)-Nets in Base 7

(44, 76, 112)-Net over F₇ — Constructive and digital

Digital (44, 76, 112)-net over F₇, using

trace code for nets [i] based on digital (6, 38, 56)-net over F₄₉, using
- net from sequence [i] based on digital (6, 55)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(44, 76, 245)-Net over F₇ — Digital

Digital (44, 76, 245)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(44, 76, 11701)-Net in Base 7 — Upper bound on s

There is no (44, 76, 11702)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 16904 198918 852806 715124 936163 619958 825552 663679 573949 654152 642849 > 7⁷⁶ [i]