Best Known (105, 194, s)-Nets in Base 4
(105, 194, 130)-Net over F4 — Constructive and digital
Digital (105, 194, 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, 194, 183)-Net over F4 — Digital
Digital (105, 194, 183)-net over F4, using
(105, 194, 2479)-Net in Base 4 — Upper bound on s
There is no (105, 194, 2480)-net in base 4, because
- 1 times m-reduction [i] would yield (105, 193, 2480)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 158 404945 056459 953638 111847 470638 495032 551821 493875 985878 761971 480161 093577 285565 205123 529730 654072 396110 917287 962819 > 4193 [i]