Information on Result #684078
Linear OA(596, 132, F5, 49) (dual of [132, 36, 50]-code), using construction X applied to Ce(48) ⊂ Ce(46) based on
- linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(597, 133, F5, 49) (dual of [133, 36, 50]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(596, 66, F5, 2, 49) (dual of [(66, 2), 36, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(596, 44, F5, 3, 49) (dual of [(44, 3), 36, 50]-NRT-code) | [i] | ||