Best Known (136, 248, s)-Nets in Base 4
(136, 248, 130)-Net over F4 — Constructive and digital
Digital (136, 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
(136, 248, 240)-Net over F4 — Digital
Digital (136, 248, 240)-net over F4, using
(136, 248, 3309)-Net in Base 4 — Upper bound on s
There is no (136, 248, 3310)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 205310 712928 793102 291370 014607 887333 578045 075458 880646 380332 090820 765848 948990 006256 680482 240212 383840 772544 840494 679209 430307 214258 691046 552721 676116 > 4248 [i]