MinT - Best Known (49, 49+46, s)-Nets in Base 7

Best Known (49, 49+46, s)-Nets in Base 7

(49, 49+46, 102)-Net over F₇ — Constructive and digital

Digital (49, 95, 102)-net over F₇, using

1 times m-reduction [i] based on digital (49, 96, 102)-net over F₇, using
- trace code for nets [i] based on digital (1, 48, 51)-net over F₄₉, using
  - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
    - Niederreiter sequence [i]

(49, 49+46, 165)-Net over F₇ — Digital

Digital (49, 95, 165)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(49, 49+46, 4848)-Net in Base 7 — Upper bound on s

There is no (49, 95, 4849)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 192 958564 056835 729807 053466 288809 141507 530240 715811 625801 655733 317631 624013 965303 > 7⁹⁵ [i]