Information on Result #1083906

Linear OOA(25641, 16643, F256, 4, 16) (dual of [(16643, 4), 66531, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(25610, 259, F256, 4, 8) (dual of [(259, 4), 1026, 9]-NRT-code), using
  2. linear OOA(25631, 16384, F256, 4, 16) (dual of [(16384, 4), 65505, 17]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using
      • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(25641, 8321, F256, 20, 16) (dual of [(8321, 20), 166379, 17]-NRT-code) [i]OOA Folding and Stacking with Additional Row