Best Known (221−100, 221, s)-Nets in Base 4
(221−100, 221, 130)-Net over F4 — Constructive and digital
Digital (121, 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
(221−100, 221, 215)-Net over F4 — Digital
Digital (121, 221, 215)-net over F4, using
(221−100, 221, 2935)-Net in Base 4 — Upper bound on s
There is no (121, 221, 2936)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11 523063 268871 421400 335751 414978 717396 663927 132123 571362 757168 624521 203068 807754 130056 964074 060128 523765 429861 317052 554325 793647 857323 > 4221 [i]