Information on Result #665261
Linear OA(1664, 131110, F16, 14) (dual of [131110, 131046, 15]-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(1654, 131072, F16, 14) (dual of [131072, 131018, 15]-code), using
- trace code [i] based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- trace code [i] based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-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(1664, 18730, F16, 14, 14) (dual of [(18730, 14), 262156, 15]-NRT-code) | [i] | OA Folding and Stacking | |