Best Known (118, 118+54, s)-Nets in Base 4
(118, 118+54, 312)-Net over F4 — Constructive and digital
Digital (118, 172, 312)-net over F4, using
- 41 times duplication [i] based on digital (117, 171, 312)-net over F4, using
- trace code for nets [i] based on digital (3, 57, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- trace code for nets [i] based on digital (3, 57, 104)-net over F64, using
(118, 118+54, 608)-Net over F4 — Digital
Digital (118, 172, 608)-net over F4, using
(118, 118+54, 24902)-Net in Base 4 — Upper bound on s
There is no (118, 172, 24903)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 35 845701 149450 236405 405949 633513 572436 916678 156164 100935 875318 507870 906508 924422 610526 771909 263305 429696 > 4172 [i]