Information on Result #1093592
Linear OOA(2163, 74, F2, 4, 52) (dual of [(74, 4), 133, 53]-NRT-code), using (u, u+v)-construction based on
- linear OOA(229, 8, F2, 4, 26) (dual of [(8, 4), 3, 27]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;3,2) [i]
- linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(2134, 66, F2, 4, 52) (dual of [(66, 4), 130, 53]-NRT-code), using
- extracting embedded OOA [i] based on digital (82, 134, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 67, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 67, 33)-net over F4, using
- extracting embedded OOA [i] based on digital (82, 134, 66)-net over F2, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(2163, 37, F2, 8, 52) (dual of [(37, 8), 133, 53]-NRT-code) | [i] | OOA Folding |