Information on Result #661778
Linear OA(2590, 94, F25, 82) (dual of [94, 4, 83]-code), using juxtaposition based on
- linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), using
- extended Reed–Solomon code RSe(4,25) [i]
- algebraic-geometric code AG(F, Q+0P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F,1P) with degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(2564, 68, F25, 59) (dual of [68, 4, 60]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,7P) [i] based on
- linear OA(2563, 65, F25, 59) (dual of [65, 2, 60]-code), using algebraic-geometric code AG(F,5P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2561, 65, F25, 57) (dual of [65, 4, 58]-code), using algebraic-geometric code AG(F,7P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,5P) ⊂ AG(F,7P) [i] based on
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 OA(2589, 93, F25, 81) (dual of [93, 4, 82]-code) | [i] | Truncation | |
| 2 | Linear OOA(2590, 47, F25, 2, 82) (dual of [(47, 2), 4, 83]-NRT-code) | [i] | OOA Folding | |