Best Known (118−40, 118, s)-Nets in Base 5
(118−40, 118, 296)-Net over F5 — Constructive and digital
Digital (78, 118, 296)-net over F5, using
- trace code for nets [i] based on digital (19, 59, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(118−40, 118, 509)-Net over F5 — Digital
Digital (78, 118, 509)-net over F5, using
(118−40, 118, 27602)-Net in Base 5 — Upper bound on s
There is no (78, 118, 27603)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 30113 525160 471768 815645 167248 636658 084054 722604 420904 694412 275324 307385 059049 008945 > 5118 [i]