Information on Result #693596
Linear OA(25100, 15651, F25, 33) (dual of [15651, 15551, 34]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
- linear OA(2594, 15625, F25, 33) (dual of [15625, 15531, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(256, 26, F25, 6) (dual of [26, 20, 7]-code or 26-arc in PG(5,25)), using
- extended Reed–Solomon code RSe(20,25) [i]
- algebraic-geometric code AG(F, Q+8P) 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, Q+5P) with degQ = 4 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
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(25102, 15655, F25, 33) (dual of [15655, 15553, 34]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(25100, 7825, F25, 2, 33) (dual of [(7825, 2), 15550, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25100, 978, F25, 33, 33) (dual of [(978, 33), 32174, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |