Best Known (49−28, 49, s)-Nets in Base 49
(49−28, 49, 344)-Net over F49 — Constructive and digital
Digital (21, 49, 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
(49−28, 49, 103722)-Net in Base 49 — Upper bound on s
There is no (21, 49, 103723)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 66011 263359 497728 820446 472305 615261 685081 582841 736853 272064 491109 596101 530123 962081 > 4949 [i]