Information on Result #667582
Linear OA(2741, 835, F27, 15) (dual of [835, 794, 16]-code), using (u, u+v)-construction based on
- linear OA(2712, 105, F27, 7) (dual of [105, 93, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2729, 730, F27, 15) (dual of [730, 701, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, 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(2741, 119, F27, 15, 15) (dual of [(119, 15), 1744, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |