Information on Result #666231
Linear OA(2580, 16251, F25, 21) (dual of [16251, 16171, 22]-code), using (u, u+v)-construction based on
- linear OA(2519, 625, F25, 10) (dual of [625, 606, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
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(2580, 1625, F25, 21, 21) (dual of [(1625, 21), 34045, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |