Information on Result #667497
Linear OA(2768, 19748, F27, 19) (dual of [19748, 19680, 20]-code), using (u, u+v)-construction based on
- linear OA(2713, 64, F27, 9) (dual of [64, 51, 10]-code), using
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OA(2755, 19684, F27, 19) (dual of [19684, 19629, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(2768, 2194, F27, 19, 19) (dual of [(2194, 19), 41618, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |