Best Known (122, 200, s)-Nets in Base 3
(122, 200, 156)-Net over F3 — Constructive and digital
Digital (122, 200, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 100, 78)-net over F9, using
- net from sequence [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
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
(122, 200, 201)-Net over F3 — Digital
Digital (122, 200, 201)-net over F3, using
(122, 200, 2115)-Net in Base 3 — Upper bound on s
There is no (122, 200, 2116)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 268448 899107 540915 340867 934073 176501 135734 797128 403106 525799 577910 209874 155626 545073 526242 929137 > 3200 [i]