Best Known (121, 121+98, s)-Nets in Base 4
(121, 121+98, 130)-Net over F4 — Constructive and digital
Digital (121, 219, 130)-net over F4, using
- t-expansion [i] based on digital (105, 219, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second 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) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(121, 121+98, 221)-Net over F4 — Digital
Digital (121, 219, 221)-net over F4, using
(121, 121+98, 3086)-Net in Base 4 — Upper bound on s
There is no (121, 219, 3087)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 719491 300458 384185 837393 806552 943899 265963 192846 461162 101076 184261 329691 948077 791806 091511 494438 301786 936160 357521 798024 594313 249152 > 4219 [i]