Best Known (97, 196, s)-Nets in Base 4
(97, 196, 104)-Net over F4 — Constructive and digital
Digital (97, 196, 104)-net over F4, using
- t-expansion [i] based on digital (73, 196, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(97, 196, 144)-Net over F4 — Digital
Digital (97, 196, 144)-net over F4, using
- t-expansion [i] based on digital (91, 196, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(97, 196, 1545)-Net in Base 4 — Upper bound on s
There is no (97, 196, 1546)-net in base 4, because
- 1 times m-reduction [i] would yield (97, 195, 1546)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2564 296354 115336 141377 482944 488176 357651 744439 339500 078454 095037 540195 870602 602515 880085 397117 241680 355472 696125 462752 > 4195 [i]