Information on Result #1083930

Linear OOA(25645, 16898, F256, 4, 17) (dual of [(16898, 4), 67547, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(25612, 514, F256, 4, 8) (dual of [(514, 4), 2044, 9]-NRT-code), using
  2. linear OOA(25633, 16384, F256, 4, 17) (dual of [(16384, 4), 65503, 18]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
      • an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(25645, 8448, F256, 20, 17) (dual of [(8448, 20), 168915, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row