Best Known (132, 248, s)-Nets in Base 4
(132, 248, 130)-Net over F4 — Constructive and digital
Digital (132, 248, 130)-net over F4, using
- t-expansion [i] based on digital (105, 248, 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
(132, 248, 215)-Net over F4 — Digital
Digital (132, 248, 215)-net over F4, using
(132, 248, 2760)-Net in Base 4 — Upper bound on s
There is no (132, 248, 2761)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 205873 105199 325396 519863 614942 435805 493760 580957 120318 464332 709305 327030 005082 150957 191625 144780 088669 657108 287590 724249 702352 312593 503600 161884 287200 > 4248 [i]