Information on Result #1083734

Linear OOA(25624, 16641, F256, 4, 10) (dual of [(16641, 4), 66540, 11]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2565, 257, F256, 4, 5) (dual of [(257, 4), 1023, 6]-NRT-code), using
  2. linear OOA(25619, 16384, F256, 4, 10) (dual of [(16384, 4), 65517, 11]-NRT-code), using
    • OOA 4-folding [i] based on 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]

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(25646, 4260096, F256, 4, 10) (dual of [(4260096, 4), 17040338, 11]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs