Information on Result #667624
Linear OA(2748, 20413, F27, 13) (dual of [20413, 20365, 14]-code), using (u, u+v)-construction based on
- linear OA(2711, 729, F27, 6) (dual of [729, 718, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2737, 19684, F27, 13) (dual of [19684, 19647, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2748, 3402, F27, 13, 13) (dual of [(3402, 13), 44178, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |