Information on Result #940073
Linear OOA(5132, 262, F5, 2, 50) (dual of [(262, 2), 392, 51]-NRT-code), using trace code based on linear OOA(2566, 131, F25, 2, 50) (dual of [(131, 2), 196, 51]-NRT-code), using
- construction X applied to AG(2;F,199P) ⊂ AG(2;F,206P) [i] based on
- linear OOA(2560, 125, F25, 2, 50) (dual of [(125, 2), 190, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,199P) [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(2553, 125, F25, 2, 43) (dual of [(125, 2), 197, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,206P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(256, 6, F25, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;44,25) [i]
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- linear OOA(2560, 125, F25, 2, 50) (dual of [(125, 2), 190, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,199P) [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(5133, 262, F5, 2, 50) (dual of [(262, 2), 391, 51]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5132, 131, F5, 3, 50) (dual of [(131, 3), 261, 51]-NRT-code) | [i] | OOA Folding | |