Information on Result #671778

Linear OA(25660, 131073, F256, 21) (dual of [131073, 131013, 22]-code), using (u, u+v)-construction based on
  1. linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using
    • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. 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]

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(25660, 13107, F256, 21, 21) (dual of [(13107, 21), 275187, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row