Best Known (106, 183, s)-Nets in Base 4
(106, 183, 130)-Net over F4 — Constructive and digital
Digital (106, 183, 130)-net over F4, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(106, 183, 230)-Net over F4 — Digital
Digital (106, 183, 230)-net over F4, using
(106, 183, 3799)-Net in Base 4 — Upper bound on s
There is no (106, 183, 3800)-net in base 4, because
- 1 times m-reduction [i] would yield (106, 182, 3800)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 37 866035 507681 435664 768166 498279 268636 778279 722556 854456 010093 979754 957173 427211 386591 679339 478306 690582 519282 > 4182 [i]