Best Known (121, 223, s)-Nets in Base 4
(121, 223, 130)-Net over F4 — Constructive and digital
Digital (121, 223, 130)-net over F4, using
- t-expansion [i] based on digital (105, 223, 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
(121, 223, 209)-Net over F4 — Digital
Digital (121, 223, 209)-net over F4, using
(121, 223, 2797)-Net in Base 4 — Upper bound on s
There is no (121, 223, 2798)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 181 942911 487397 192398 471079 738798 413481 459860 867911 784285 296625 013563 356618 219451 710319 247895 518007 109198 186515 734670 973363 079098 022200 > 4223 [i]