Information on Result #667185
Linear OA(27109, 19759, F27, 31) (dual of [19759, 19650, 32]-code), using (u, u+v)-construction based on
- linear OA(2721, 76, F27, 15) (dual of [76, 55, 16]-code), using
- extended algebraic-geometric code AGe(F,60P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
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(27109, 1317, F27, 31, 31) (dual of [(1317, 31), 40718, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |