Information on Result #694202
Linear OA(2595, 642, F25, 47) (dual of [642, 547, 48]-code), using construction X applied to Ce(46) ⊂ Ce(40) based on
- linear OA(2590, 625, F25, 47) (dual of [625, 535, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2578, 625, F25, 41) (dual of [625, 547, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(255, 17, F25, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), 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(2595, 321, F25, 2, 47) (dual of [(321, 2), 547, 48]-NRT-code) | [i] | OOA Folding | |