Information on Result #1083926

Linear OOA(25641, 16641, F256, 4, 17) (dual of [(16641, 4), 66523, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2568, 257, F256, 4, 8) (dual of [(257, 4), 1020, 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
1OOA(12847, 16641, S128, 4, 17) [i]Discarding Parts of the Base for OOAs
2Linear OOA(25641, 8320, F256, 20, 17) (dual of [(8320, 20), 166359, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row