Information on Result #1083785

Linear OOA(25630, 16642, F256, 4, 12) (dual of [(16642, 4), 66538, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2567, 258, F256, 4, 6) (dual of [(258, 4), 1025, 7]-NRT-code), using
  2. linear OOA(25623, 16384, F256, 4, 12) (dual of [(16384, 4), 65513, 13]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using
      • an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(25663, 4260352, F256, 4, 12) (dual of [(4260352, 4), 17041345, 13]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs