Best Known (98−24, 98, s)-Nets in Base 7
(98−24, 98, 688)-Net over F7 — Constructive and digital
Digital (74, 98, 688)-net over F7, using
- 8 times m-reduction [i] based on digital (74, 106, 688)-net over F7, using
- trace code for nets [i] based on digital (21, 53, 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, 53, 344)-net over F49, using
(98−24, 98, 6280)-Net over F7 — Digital
Digital (74, 98, 6280)-net over F7, using
(98−24, 98, 7028193)-Net in Base 7 — Upper bound on s
There is no (74, 98, 7028194)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 66009 811459 288234 876971 428231 196253 092156 575871 523637 691094 753204 083700 794419 174041 > 798 [i]