Information on Result #1080378
Linear OOA(2259, 270, F2, 4, 51) (dual of [(270, 4), 821, 52]-NRT-code), using (u, u+v)-construction based on
- linear OOA(231, 10, F2, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,14P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- linear OOA(2228, 260, F2, 4, 51) (dual of [(260, 4), 812, 52]-NRT-code), using
- extracting embedded OOA [i] based on digital (177, 228, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 57, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 57, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (177, 228, 260)-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(2260, 270, F2, 4, 51) (dual of [(270, 4), 820, 52]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2259, 135, F2, 8, 51) (dual of [(135, 8), 821, 52]-NRT-code) | [i] | OOA Folding | |