Best Known (121, 121+39, s)-Nets in Base 4
(121, 121+39, 1032)-Net over F4 — Constructive and digital
Digital (121, 160, 1032)-net over F4, using
- trace code for nets [i] based on digital (1, 40, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(121, 121+39, 1735)-Net over F4 — Digital
Digital (121, 160, 1735)-net over F4, using
(121, 121+39, 288644)-Net in Base 4 — Upper bound on s
There is no (121, 160, 288645)-net in base 4, because
- 1 times m-reduction [i] would yield (121, 159, 288645)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 534028 305044 185786 811384 952442 497555 439674 355485 970922 895209 522662 792317 564858 803899 422720 732832 > 4159 [i]