Information on Result #671810

Linear OA(25651, 66821, F256, 18) (dual of [66821, 66770, 19]-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(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(25651, 13364, F256, 5, 18) (dual of [(13364, 5), 66769, 19]-NRT-code) [i]OOA Folding