Best Known (98−37, 98, s)-Nets in Base 7
(98−37, 98, 124)-Net over F7 — Constructive and digital
Digital (61, 98, 124)-net over F7, using
- trace code for nets [i] based on digital (12, 49, 62)-net over F49, using
- net from sequence [i] based on digital (12, 61)-sequence over F49, using
(98−37, 98, 490)-Net over F7 — Digital
Digital (61, 98, 490)-net over F7, using
(98−37, 98, 45082)-Net in Base 7 — Upper bound on s
There is no (61, 98, 45083)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 97, 45083)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 9432 041151 127576 304995 072791 225645 595554 304463 700424 031965 610196 195805 944423 461005 > 797 [i]