MinT - Best Known (98−44, 98, s)-Nets in Base 7

Best Known (98−44, 98, s)-Nets in Base 7

(98−44, 98, 110)-Net over F₇ — Constructive and digital

Digital (54, 98, 110)-net over F₇, using

trace code for nets [i] based on digital (5, 49, 55)-net over F₄₉, using
- net from sequence [i] based on digital (5, 54)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(98−44, 98, 227)-Net over F₇ — Digital

Digital (54, 98, 227)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(98−44, 98, 8760)-Net in Base 7 — Upper bound on s

There is no (54, 98, 8761)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 66095 375503 026256 986491 817531 465691 642038 886175 602695 453202 035729 232943 257370 150401 > 7⁹⁸ [i]