Best Known (20−17, 20, s)-Nets in Base 49
(20−17, 20, 53)-Net over F49 — Constructive and digital
Digital (3, 20, 53)-net over F49, using
- net from sequence [i] based on digital (3, 52)-sequence over F49, using
(20−17, 20, 92)-Net over F49 — Digital
Digital (3, 20, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
(20−17, 20, 806)-Net in Base 49 — Upper bound on s
There is no (3, 20, 807)-net in base 49, because
- 1 times m-reduction [i] would yield (3, 19, 807)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 130 355957 683700 927092 356954 491521 > 4919 [i]