MinT - Best Known (10, 10+4, s)-Nets in Base 2

Best Known (10, 10+4, s)-Nets in Base 2

(10, 10+4, 128)-Net over F₂ — Constructive and digital

Digital (10, 14, 128)-net over F₂, using

linear code embedding found in a computer search [i]

(10, 10+4, 178)-Net in Base 2 — Upper bound on s

There is no (10, 14, 179)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 16469 > 2¹⁴ [i]
extracting embedded orthogonal array [i] would yield OA(2¹⁴, 179, S₂, 4), but
- the linear programming bound shows that MÂ â‰¥ 32 401152 / 1951 > 2¹⁴ [i]