Information on Result #671820

Linear OA(25647, 66822, F256, 17) (dual of [66822, 66775, 18]-code), using (u, u+v)-construction based on
  1. linear OA(25614, 1285, F256, 8) (dual of [1285, 1271, 9]-code), using
    • the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,52,103,…,358}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(25647, 33411, F256, 2, 17) (dual of [(33411, 2), 66775, 18]-NRT-code) [i]OOA Folding
2Linear OOA(25647, 22274, F256, 3, 17) (dual of [(22274, 3), 66775, 18]-NRT-code) [i]
3Linear OOA(25647, 13364, F256, 5, 17) (dual of [(13364, 5), 66773, 18]-NRT-code) [i]