Best Known (59, 59+31, s)-Nets in Base 7
(59, 59+31, 128)-Net over F7 — Constructive and digital
Digital (59, 90, 128)-net over F7, using
- trace code for nets [i] based on digital (14, 45, 64)-net over F49, using
- net from sequence [i] based on digital (14, 63)-sequence over F49, using
(59, 59+31, 703)-Net over F7 — Digital
Digital (59, 90, 703)-net over F7, using
(59, 59+31, 110618)-Net in Base 7 — Upper bound on s
There is no (59, 90, 110619)-net in base 7, because
- 1 times m-reduction [i] would yield (59, 89, 110619)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1635 966803 937409 320357 228060 648791 838888 684902 680788 726106 080372 105035 217223 > 789 [i]