Information on Result #671359
Linear OA(12842, 32770, F128, 15) (dual of [32770, 32728, 16]-code), using (u, u+v)-construction based on
- linear OA(12813, 16385, F128, 7) (dual of [16385, 16372, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(12842, 4681, F128, 15, 15) (dual of [(4681, 15), 70173, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |