Information on Result #693254
Linear OA(2568, 390656, F25, 16) (dual of [390656, 390588, 17]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(257, 31, F25, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(257, 52, F25, 5) (dual of [52, 45, 6]-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(2569, 390657, F25, 16) (dual of [390657, 390588, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2568, 195328, F25, 2, 16) (dual of [(195328, 2), 390588, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2568, 48832, F25, 16, 16) (dual of [(48832, 16), 781244, 17]-NRT-code) | [i] | OA Folding and Stacking | |