Information on Result #663295
Linear OA(784, 16857, F7, 17) (dual of [16857, 16773, 18]-code), using (u, u+v)-construction based on
- linear OA(713, 49, F7, 8) (dual of [49, 36, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(771, 16808, F7, 17) (dual of [16808, 16737, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(784, 2107, F7, 17, 17) (dual of [(2107, 17), 35735, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |