Information on Result #940114
Linear OOA(5138, 266, F5, 2, 51) (dual of [(266, 2), 394, 52]-NRT-code), using trace code based on linear OOA(2569, 133, F25, 2, 51) (dual of [(133, 2), 197, 52]-NRT-code), using
- construction X applied to AG(2;F,198P) ⊂ AG(2;F,207P) [i] based on
- linear OOA(2561, 125, F25, 2, 51) (dual of [(125, 2), 189, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,198P) [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(2552, 125, F25, 2, 42) (dual of [(125, 2), 198, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,207P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(258, 8, F25, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(258, 25, F25, 2, 8) (dual of [(25, 2), 42, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;42,25) [i]
- discarding factors / shortening the dual code based on linear OOA(258, 25, F25, 2, 8) (dual of [(25, 2), 42, 9]-NRT-code), using
- linear OOA(2561, 125, F25, 2, 51) (dual of [(125, 2), 189, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,198P) [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(5139, 266, F5, 2, 51) (dual of [(266, 2), 393, 52]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5138, 133, F5, 3, 51) (dual of [(133, 3), 261, 52]-NRT-code) | [i] | OOA Folding | |