Best Known (127, 127+94, s)-Nets in Base 4
(127, 127+94, 130)-Net over F4 — Constructive and digital
Digital (127, 221, 130)-net over F4, using
- t-expansion [i] based on digital (105, 221, 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
(127, 127+94, 262)-Net over F4 — Digital
Digital (127, 221, 262)-net over F4, using
(127, 127+94, 4110)-Net in Base 4 — Upper bound on s
There is no (127, 221, 4111)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11 428183 402054 450400 321372 807741 973371 880329 206487 483965 243705 849111 508496 839699 616799 080833 494493 688387 032045 393922 471368 318745 627136 > 4221 [i]