Information on Result #1083713

Linear OOA(25621, 16641, F256, 4, 9) (dual of [(16641, 4), 66543, 10]-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(25617, 16384, F256, 4, 9) (dual of [(16384, 4), 65519, 10]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using
      • an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(25639, 4260096, F256, 4, 9) (dual of [(4260096, 4), 17040345, 10]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
2Linear OOA(25621, 16640, F256, 5, 9) (dual of [(16640, 5), 83179, 10]-NRT-code) [i]OOA Stacking with Additional Row
3Linear OOA(25621, 16640, F256, 6, 9) (dual of [(16640, 6), 99819, 10]-NRT-code) [i]
4Linear OOA(25621, 16640, F256, 12, 9) (dual of [(16640, 12), 199659, 10]-NRT-code) [i]