Best Known (248−60, 248, s)-Nets in Base 3
(248−60, 248, 464)-Net over F3 — Constructive and digital
Digital (188, 248, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 62, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
(248−60, 248, 1157)-Net over F3 — Digital
Digital (188, 248, 1157)-net over F3, using
(248−60, 248, 52932)-Net in Base 3 — Upper bound on s
There is no (188, 248, 52933)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 21197 879371 863423 970297 503846 295494 074199 689385 445941 426475 618235 155507 363719 591357 179617 412937 184370 040954 598119 273505 > 3248 [i]