Best Known (121, 237, s)-Nets in Base 4
(121, 237, 130)-Net over F4 — Constructive and digital
Digital (121, 237, 130)-net over F4, using
- t-expansion [i] based on digital (105, 237, 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, 237, 179)-Net over F4 — Digital
Digital (121, 237, 179)-net over F4, using
(121, 237, 2111)-Net in Base 4 — Upper bound on s
There is no (121, 237, 2112)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 49381 707387 015733 115087 818434 398759 402629 322209 362197 791190 371731 658620 225214 782733 484108 814920 081428 390873 538555 167546 638143 356313 432952 697135 > 4237 [i]