Best Known (105−41, 105, s)-Nets in Base 7
(105−41, 105, 122)-Net over F7 — Constructive and digital
Digital (64, 105, 122)-net over F7, using
- 1 times m-reduction [i] based on digital (64, 106, 122)-net over F7, using
- trace code for nets [i] based on digital (11, 53, 61)-net over F49, using
- net from sequence [i] based on digital (11, 60)-sequence over F49, using
- trace code for nets [i] based on digital (11, 53, 61)-net over F49, using
(105−41, 105, 439)-Net over F7 — Digital
Digital (64, 105, 439)-net over F7, using
(105−41, 105, 34316)-Net in Base 7 — Upper bound on s
There is no (64, 105, 34317)-net in base 7, because
- 1 times m-reduction [i] would yield (64, 104, 34317)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 7768 441432 192730 681547 346787 977042 261933 182803 073086 692807 386704 448994 598053 309383 379297 > 7104 [i]