Information on Result #1083693

Linear OOA(25619, 16641, F256, 4, 8) (dual of [(16641, 4), 66545, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
  2. linear OOA(25615, 16384, F256, 4, 8) (dual of [(16384, 4), 65521, 9]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using
      • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(25665, 2113791, F256, 4, 16) (dual of [(2113791, 4), 8455099, 17]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(25668, 2113791, F256, 4, 17) (dual of [(2113791, 4), 8455096, 18]-NRT-code) [i]
3Linear OOA(25635, 4260096, F256, 4, 8) (dual of [(4260096, 4), 17040349, 9]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
4Linear OOA(25619, 16640, F256, 5, 8) (dual of [(16640, 5), 83181, 9]-NRT-code) [i]OOA Stacking with Additional Row
5Linear OOA(25619, 16640, F256, 6, 8) (dual of [(16640, 6), 99821, 9]-NRT-code) [i]
6Linear OOA(25619, 16640, F256, 12, 8) (dual of [(16640, 12), 199661, 9]-NRT-code) [i]