Information on Result #880214
Linear OOA(25642, 32771, F256, 2, 21) (dual of [(32771, 2), 65500, 22]-NRT-code), using OOA 2-folding based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-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(25652, 33028, F256, 2, 21) (dual of [(33028, 2), 66004, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25653, 33029, F256, 2, 21) (dual of [(33029, 2), 66005, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(25654, 33030, F256, 2, 21) (dual of [(33030, 2), 66006, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(25655, 33031, F256, 2, 21) (dual of [(33031, 2), 66007, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(25657, 33285, F256, 2, 21) (dual of [(33285, 2), 66513, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(25658, 33286, F256, 2, 21) (dual of [(33286, 2), 66514, 22]-NRT-code) | [i] | ||