MinT - Best Known (58, 58+38, s)-Nets in Base 7

Best Known (58, 58+38, s)-Nets in Base 7

(58, 58+38, 120)-Net over F₇ — Constructive and digital

Digital (58, 96, 120)-net over F₇, using

trace code for nets [i] based on digital (10, 48, 60)-net over F₄₉, using
- net from sequence [i] based on digital (10, 59)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(58, 58+38, 385)-Net over F₇ — Digital

Digital (58, 96, 385)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(58, 58+38, 24593)-Net in Base 7 — Upper bound on s

There is no (58, 96, 24594)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 1347 763664 504154 477957 342835 655454 925837 472585 066478 045265 708991 349940 125534 475561 > 7⁹⁶ [i]