Best Known (105, 105+78, s)-Nets in Base 4
(105, 105+78, 130)-Net over F4 — Constructive and digital
Digital (105, 183, 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
(105, 105+78, 221)-Net over F4 — Digital
Digital (105, 183, 221)-net over F4, using
(105, 105+78, 3398)-Net in Base 4 — Upper bound on s
There is no (105, 183, 3399)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 151 004423 457036 475454 935076 692221 541384 760420 734435 703509 405905 706849 349772 033469 643094 971946 272191 676155 496776 > 4183 [i]