Best Known (203−98, 203, s)-Nets in Base 4
(203−98, 203, 130)-Net over F4 — Constructive and digital
Digital (105, 203, 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
(203−98, 203, 163)-Net over F4 — Digital
Digital (105, 203, 163)-net over F4, using
(203−98, 203, 1948)-Net in Base 4 — Upper bound on s
There is no (105, 203, 1949)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 169 119695 013592 706399 338356 696420 359857 930540 272152 448327 706081 570898 446705 970324 299255 820892 431644 079965 529656 597047 915040 > 4203 [i]