MinT - Best Known (9, 17, s)-Nets in Base 3

Best Known (9, 17, s)-Nets in Base 3

(9, 17, 22)-Net over F₃ — Constructive and digital

Digital (9, 17, 22)-net over F₃, using

3³ times duplication [i] based on digital (6, 14, 22)-net over F₃, using
- linear code embedding found in a computer search [i]

(9, 17, 25)-Net over F₃ — Digital

Digital (9, 17, 25)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(9, 17, 114)-Net in Base 3 — Upper bound on s

There is no (9, 17, 115)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 131 266521 > 3¹⁷ [i]