MinT - Best Known (20−13, 20, s)-Nets in Base 2

Best Known (20−13, 20, s)-Nets in Base 2

(20−13, 20, 11)-Net over F₂ — Constructive and digital

Digital (7, 20, 11)-net over F₂, using

linear code embedding found in a computer search [i]

(20−13, 20, 16)-Net in Base 2 — Upper bound on s

There is no (7, 20, 17)-net in base 2, because

extracting embedded OOA [i] would yield OOA(2²⁰, 17, S₂, 2, 13), but
- the linear programming bound for OOAs shows that MÂ â‰¥ 1592 524800 / 1417 > 2²⁰ [i]