Best Known (132, 132+124, s)-Nets in Base 4
(132, 132+124, 130)-Net over F4 — Constructive and digital
Digital (132, 256, 130)-net over F4, using
- t-expansion [i] based on digital (105, 256, 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, 132+124, 198)-Net over F4 — Digital
Digital (132, 256, 198)-net over F4, using
(132, 132+124, 2391)-Net in Base 4 — Upper bound on s
There is no (132, 256, 2392)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 13559 676775 667332 536883 683996 651115 237763 492198 287048 639053 707855 754258 224381 316476 976828 461501 749950 331747 942025 989898 070688 412791 628748 085421 831253 041320 > 4256 [i]