Information on Result #683424
Linear OA(5147, 629, F5, 47) (dual of [629, 482, 48]-code), using construction X applied to Ce(46) ⊂ Ce(45) based on
- linear OA(5147, 625, F5, 47) (dual of [625, 478, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5143, 625, F5, 46) (dual of [625, 482, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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 OOA(5147, 314, F5, 2, 47) (dual of [(314, 2), 481, 48]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5147, 209, F5, 3, 47) (dual of [(209, 3), 480, 48]-NRT-code) | [i] | ||