Information on Result #940102
Linear OOA(5136, 260, F5, 2, 53) (dual of [(260, 2), 384, 54]-NRT-code), using trace code based on linear OOA(2568, 130, F25, 2, 53) (dual of [(130, 2), 192, 54]-NRT-code), using
- construction X applied to AG(2;F,196P) ⊂ AG(2;F,202P) [i] based on
- linear OOA(2563, 125, F25, 2, 53) (dual of [(125, 2), 187, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,196P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OOA(2557, 125, F25, 2, 47) (dual of [(125, 2), 193, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,202P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(255, 5, F25, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(255, 25, F25, 2, 5) (dual of [(25, 2), 45, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;45,25) [i]
- discarding factors / shortening the dual code based on linear OOA(255, 25, F25, 2, 5) (dual of [(25, 2), 45, 6]-NRT-code), using
- linear OOA(2563, 125, F25, 2, 53) (dual of [(125, 2), 187, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,196P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, 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(5137, 260, F5, 2, 53) (dual of [(260, 2), 383, 54]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5136, 130, F5, 3, 53) (dual of [(130, 3), 254, 54]-NRT-code) | [i] | OOA Folding | |