Best Known (112, 232, s)-Nets in Base 4
(112, 232, 130)-Net over F4 — Constructive and digital
Digital (112, 232, 130)-net over F4, using
- t-expansion [i] based on digital (105, 232, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(112, 232, 165)-Net over F4 — Digital
Digital (112, 232, 165)-net over F4, using
- t-expansion [i] based on digital (109, 232, 165)-net over F4, using
- net from sequence [i] based on digital (109, 164)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 109 and N(F) ≥ 165, using
- net from sequence [i] based on digital (109, 164)-sequence over F4, using
(112, 232, 1596)-Net in Base 4 — Upper bound on s
There is no (112, 232, 1597)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 49 197278 255668 011428 179514 635768 291321 012517 884909 038045 098329 930565 416727 067121 888171 338700 389945 863035 439529 157678 700362 806801 676145 837665 > 4232 [i]