Best Known (121, 233, s)-Nets in Base 3
(121, 233, 78)-Net over F3 — Constructive and digital
Digital (121, 233, 78)-net over F3, using
- net from sequence [i] based on digital (121, 77)-sequence over F3, using
- base reduction for sequences [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- base reduction for sequences [i] based on digital (22, 77)-sequence over F9, using
(121, 233, 128)-Net over F3 — Digital
Digital (121, 233, 128)-net over F3, using
(121, 233, 994)-Net in Base 3 — Upper bound on s
There is no (121, 233, 995)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1501 205685 347013 700801 553428 802827 489052 234736 395542 787683 932144 140329 033126 148102 352017 544744 262068 360079 929489 > 3233 [i]