Best Known (113, 113+96, s)-Nets in Base 4
(113, 113+96, 130)-Net over F4 — Constructive and digital
Digital (113, 209, 130)-net over F4, using
- t-expansion [i] based on digital (105, 209, 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
(113, 113+96, 195)-Net over F4 — Digital
Digital (113, 209, 195)-net over F4, using
(113, 113+96, 2573)-Net in Base 4 — Upper bound on s
There is no (113, 209, 2574)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 680429 677721 524684 307955 073928 984875 062509 775258 303441 602735 565401 758487 231526 332110 935538 300924 297848 050613 219850 516027 124320 > 4209 [i]