MinT - Best Known (47, 47+32, s)-Nets in Base 7

Best Known (47, 47+32, s)-Nets in Base 7

(47, 47+32, 114)-Net over F₇ — Constructive and digital

Digital (47, 79, 114)-net over F₇, using

1 times m-reduction [i] based on digital (47, 80, 114)-net over F₇, using
- trace code for nets [i] based on digital (7, 40, 57)-net over F₄₉, using
  - net from sequence [i] based on digital (7, 56)-sequence over F₄₉, using
    - Niederreiter sequence [i]

(47, 47+32, 300)-Net over F₇ — Digital

Digital (47, 79, 300)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(47, 47+32, 16857)-Net in Base 7 — Upper bound on s

There is no (47, 79, 16858)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 5 792762 434716 599349 088114 377201 255972 160892 473788 684166 669681 299745 > 7⁷⁹ [i]