Information on Result #693270
Linear OA(2570, 390662, F25, 16) (dual of [390662, 390592, 17]-code), using construction X applied to Ce(15) ⊂ Ce(8) 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(2533, 390625, F25, 9) (dual of [390625, 390592, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(259, 37, F25, 6) (dual of [37, 28, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(259, 49, F25, 6) (dual of [49, 40, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 48 | 252−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(259, 49, F25, 6) (dual of [49, 40, 7]-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 OOA(2570, 195331, F25, 2, 16) (dual of [(195331, 2), 390592, 17]-NRT-code) | [i] | OOA Folding | |