Best Known (121, 227, s)-Nets in Base 4
(121, 227, 130)-Net over F4 — Constructive and digital
Digital (121, 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
(121, 227, 200)-Net over F4 — Digital
Digital (121, 227, 200)-net over F4, using
(121, 227, 2558)-Net in Base 4 — Upper bound on s
There is no (121, 227, 2559)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 46906 025944 381563 055828 677397 113463 345047 853335 518011 351860 799151 268786 487281 064343 880235 802951 653963 253523 747191 567071 475071 650024 563266 > 4227 [i]