Information on Result #737546
Linear OA(555, 15656, F5, 10) (dual of [15656, 15601, 11]-code), using construction X applied to C([0,5]) ⊂ C([0,2]) based on
- linear OA(549, 15626, F5, 11) (dual of [15626, 15577, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(525, 15626, F5, 5) (dual of [15626, 15601, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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(555, 7828, F5, 2, 10) (dual of [(7828, 2), 15601, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(555, 3131, F5, 10, 10) (dual of [(3131, 10), 31255, 11]-NRT-code) | [i] | OA Folding and Stacking | |