Information on Result #667520
Linear OA(2763, 19731, F27, 18) (dual of [19731, 19668, 19]-code), using (u, u+v)-construction based on
- linear OA(2711, 48, F27, 9) (dual of [48, 37, 10]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(2763, 2192, F27, 18, 18) (dual of [(2192, 18), 39393, 19]-NRT-code) | [i] | OA Folding and Stacking | |