Best Known (13, 13+25, s)-Nets in Base 7
(13, 13+25, 21)-Net over F7 — Constructive and digital
Digital (13, 38, 21)-net over F7, using
- net from sequence [i] based on digital (13, 20)-sequence over F7, using
(13, 13+25, 48)-Net over F7 — Digital
Digital (13, 38, 48)-net over F7, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
(13, 13+25, 348)-Net in Base 7 — Upper bound on s
There is no (13, 38, 349)-net in base 7, because
- 1 times m-reduction [i] would yield (13, 37, 349)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 19 117370 821386 427254 047236 242529 > 737 [i]