Information on Result #665239
Linear OA(1668, 131112, F16, 15) (dual of [131112, 131044, 16]-code), using (u, u+v)-construction based on
- linear OA(1610, 38, F16, 7) (dual of [38, 28, 8]-code), using
- extended algebraic-geometric code AGe(F,30P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OA(1658, 131074, F16, 15) (dual of [131074, 131016, 16]-code), using
- trace code [i] based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- trace code [i] based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using
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(1668, 18730, F16, 15, 15) (dual of [(18730, 15), 280882, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |