Information on Result #700432

Linear OA(25649, 65556, F256, 22) (dual of [65556, 65507, 23]-code), using construction X applied to Ce(21) ⊂ Ce(14) based on
  1. linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(2566, 20, F256, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,256)), using

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 OA(1698, 131112, F16, 22) (dual of [131112, 131014, 23]-code) [i]Trace Code
2OA(12856, 65556, S128, 22) [i]Discarding Parts of the Base for OAs
3Linear OOA(25649, 32778, F256, 2, 22) (dual of [(32778, 2), 65507, 23]-NRT-code) [i]OOA Folding
4Linear OOA(25649, 21852, F256, 3, 22) (dual of [(21852, 3), 65507, 23]-NRT-code) [i]
5Linear OOA(25649, 16389, F256, 4, 22) (dual of [(16389, 4), 65507, 23]-NRT-code) [i]
6Linear OOA(25649, 13111, F256, 5, 22) (dual of [(13111, 5), 65506, 23]-NRT-code) [i]
7Linear OOA(25649, 10926, F256, 6, 22) (dual of [(10926, 6), 65507, 23]-NRT-code) [i]