MinT - Best Known (6, 6+7, s)-Nets in Base 2

Best Known (6, 6+7, s)-Nets in Base 2

(6, 6+7, 16)-Net over F₂ — Constructive and digital

Digital (6, 13, 16)-net over F₂, using

linear code embedding found in a computer search [i]

(6, 6+7, 23)-Net in Base 2 — Upper bound on s

There is no (6, 13, 24)-net in base 2, because

extracting embedded OOA [i] would yield OOA(2¹³, 24, S₂, 2, 7), but
- the linear programming bound for OOAs shows that MÂ â‰¥ 201472 249037 085656 260608 / 22 495303 255355 202253 > 2¹³ [i]