MinT - Best Known (124−30, 124, s)-Nets in Base 4

Best Known (124−30, 124, s)-Nets in Base 4

(124−30, 124, 1032)-Net over F₄ — Constructive and digital

Digital (94, 124, 1032)-net over F₄, using

trace code for nets [i] based on digital (1, 31, 258)-net over F₂₅₆, using
- net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(124−30, 124, 1474)-Net over F₄ — Digital

Digital (94, 124, 1474)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(124−30, 124, 203071)-Net in Base 4 — Upper bound on s

There is no (94, 124, 203072)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 452 329417 118631 178495 521137 615499 688095 947336 085786 151735 577350 068665 323801 > 4¹²⁴ [i]