Best Known (120, 120+107, s)-Nets in Base 4
(120, 120+107, 130)-Net over F4 — Constructive and digital
Digital (120, 227, 130)-net over F4, using
- t-expansion [i] based on digital (105, 227, 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+107, 194)-Net over F4 — Digital
Digital (120, 227, 194)-net over F4, using
(120, 120+107, 2491)-Net in Base 4 — Upper bound on s
There is no (120, 227, 2492)-net in base 4, because
- 1 times m-reduction [i] would yield (120, 226, 2492)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 11770 613468 599932 809583 632116 991834 986512 341138 607398 370324 153887 422997 057115 386039 254234 301187 734789 021506 667172 794638 377579 327898 963558 > 4226 [i]