Best Known (121, 233, s)-Nets in Base 4
(121, 233, 130)-Net over F4 — Constructive and digital
Digital (121, 233, 130)-net over F4, using
- t-expansion [i] based on digital (105, 233, 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, 233, 186)-Net over F4 — Digital
Digital (121, 233, 186)-net over F4, using
(121, 233, 2269)-Net in Base 4 — Upper bound on s
There is no (121, 233, 2270)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 195 152550 471925 824767 559354 112255 361356 458522 131654 868407 289115 872145 751610 597779 438548 759456 110121 331028 093624 186512 286774 256585 630817 686618 > 4233 [i]