Information on Result #684124
Linear OA(595, 140, F5, 47) (dual of [140, 45, 48]-code), using construction X applied to Ce(46) ⊂ Ce(41) based on
- 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(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(56, 15, F5, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on 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 OA(596, 141, F5, 47) (dual of [141, 45, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(594, 139, F5, 46) (dual of [139, 45, 47]-code) | [i] | Truncation | |
| 3 | Linear OOA(595, 70, F5, 2, 47) (dual of [(70, 2), 45, 48]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(595, 46, F5, 3, 47) (dual of [(46, 3), 43, 48]-NRT-code) | [i] | ||