Information on Result #671799

Linear OA(25653, 66822, F256, 19) (dual of [66822, 66769, 20]-code), using (u, u+v)-construction based on
  1. linear OA(25616, 1285, F256, 9) (dual of [1285, 1269, 10]-code), using
    • the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,52,103,…,409}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. 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]

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:

ResultThis
result
only		Method
1Linear OOA(25653, 33411, F256, 2, 19) (dual of [(33411, 2), 66769, 20]-NRT-code) [i]OOA Folding
2Linear OOA(25653, 22274, F256, 3, 19) (dual of [(22274, 3), 66769, 20]-NRT-code) [i]
3Linear OOA(25653, 13364, F256, 5, 19) (dual of [(13364, 5), 66767, 20]-NRT-code) [i]