MinT - Best Known (114, 148, s)-Nets in Base 4

Best Known (114, 148, s)-Nets in Base 4

(114, 148, 1040)-Net over F₄ — Constructive and digital

Digital (114, 148, 1040)-net over F₄, using

trace code for nets [i] based on digital (3, 37, 260)-net over F₂₅₆, using
- net from sequence [i] based on digital (3, 259)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(114, 148, 2216)-Net over F₄ — Digital

Digital (114, 148, 2216)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(114, 148, 417131)-Net in Base 4 — Upper bound on s

There is no (114, 148, 417132)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 127316 394704 459201 768472 700762 665267 395062 866394 545520 621018 459517 005782 961671 296715 527230 > 4¹⁴⁸ [i]