Best Known (120, 120+84, s)-Nets in Base 4
(120, 120+84, 130)-Net over F4 — Constructive and digital
Digital (120, 204, 130)-net over F4, using
- t-expansion [i] based on digital (105, 204, 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
(120, 120+84, 271)-Net over F4 — Digital
Digital (120, 204, 271)-net over F4, using
(120, 120+84, 4589)-Net in Base 4 — Upper bound on s
There is no (120, 204, 4590)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 666 419831 515987 098182 461071 253429 624196 577625 179338 215176 740932 003343 269058 679533 344683 411188 462199 273769 141300 680991 800370 > 4204 [i]