MinT - Best Known (14, 48, s)-Nets in Base 256

Best Known (14, 48, s)-Nets in Base 256

(14, 48, 271)-Net over F₂₅₆ — Constructive and digital

Digital (14, 48, 271)-net over F₂₅₆, using

net from sequence [i] based on digital (14, 270)-sequence over F₂₅₆, using
- Niederreiter sequence [i]

(14, 48, 513)-Net over F₂₅₆ — Digital

Digital (14, 48, 513)-net over F₂₅₆, using

t-expansion [i] based on digital (8, 48, 513)-net over F₂₅₆, using
- net from sequence [i] based on digital (8, 512)-sequence over F₂₅₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513, using
    - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₂₅₆ [i]

(14, 48, 177468)-Net in Base 256 — Upper bound on s

There is no (14, 48, 177469)-net in base 256, because

the generalized Rao bound for nets shows that 256^mÂ â‰¥ 39 403306 334418 224862 875825 732489 099069 099832 244291 934910 283101 558758 281016 410192 276689 813416 210621 879920 813645 034116 > 256⁴⁸ [i]