Best Known (79, 107, s)-Nets in Base 7
(79, 107, 688)-Net over F7 — Constructive and digital
Digital (79, 107, 688)-net over F7, using
- t-expansion [i] based on digital (76, 107, 688)-net over F7, using
- 3 times m-reduction [i] based on digital (76, 110, 688)-net over F7, using
- trace code for nets [i] based on digital (21, 55, 344)-net over F49, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- trace code for nets [i] based on digital (21, 55, 344)-net over F49, using
- 3 times m-reduction [i] based on digital (76, 110, 688)-net over F7, using
(79, 107, 4081)-Net over F7 — Digital
Digital (79, 107, 4081)-net over F7, using
(79, 107, 2899137)-Net in Base 7 — Upper bound on s
There is no (79, 107, 2899138)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 2 663741 743193 673900 094183 155950 571365 262350 123692 601384 938527 895074 377728 331443 591646 546077 > 7107 [i]