Best Known (168, 260, s)-Nets in Base 4
(168, 260, 200)-Net over F4 — Constructive and digital
Digital (168, 260, 200)-net over F4, using
- t-expansion [i] based on digital (161, 260, 200)-net over F4, using
- net from sequence [i] based on digital (161, 199)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 161 and N(F) ≥ 200, using
- F7 from the 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) = 161 and N(F) ≥ 200, using
- net from sequence [i] based on digital (161, 199)-sequence over F4, using
(168, 260, 240)-Net in Base 4 — Constructive
(168, 260, 240)-net in base 4, using
- t-expansion [i] based on (167, 260, 240)-net in base 4, using
- trace code for nets [i] based on (37, 130, 120)-net in base 16, using
- base change [i] based on digital (11, 104, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- base change [i] based on digital (11, 104, 120)-net over F32, using
- trace code for nets [i] based on (37, 130, 120)-net in base 16, using
(168, 260, 561)-Net over F4 — Digital
Digital (168, 260, 561)-net over F4, using
(168, 260, 15134)-Net in Base 4 — Upper bound on s
There is no (168, 260, 15135)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 435802 093670 209595 598551 404950 423801 986480 477050 387745 567441 938804 632364 135561 927396 186961 988561 874964 672004 809970 038874 226484 128516 545488 745935 994884 474056 > 4260 [i]