MinT - Best Known (101−48, 101, s)-Nets in Base 7

Best Known (101−48, 101, s)-Nets in Base 7

(101−48, 101, 104)-Net over F₇ — Constructive and digital

Digital (53, 101, 104)-net over F₇, using

1 times m-reduction [i] based on digital (53, 102, 104)-net over F₇, using
- trace code for nets [i] based on digital (2, 51, 52)-net over F₄₉, using
  - net from sequence [i] based on digital (2, 51)-sequence over F₄₉, using
    - Niederreiter sequence [i]

(101−48, 101, 186)-Net over F₇ — Digital

Digital (53, 101, 186)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(101−48, 101, 5868)-Net in Base 7 — Upper bound on s

There is no (53, 101, 5869)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 22 695022 233005 548276 241582 688482 264936 141054 216076 830777 587766 596287 562634 295599 570689 > 7¹⁰¹ [i]