Information on Result #905693

Linear OOA(25642, 33030, F256, 2, 16) (dual of [(33030, 2), 66018, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2569, 258, F256, 2, 8) (dual of [(258, 2), 507, 9]-NRT-code), using
  2. linear OOA(25633, 32772, F256, 2, 16) (dual of [(32772, 2), 65511, 17]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(25633, 65544, F256, 16) (dual of [65544, 65511, 17]-code), using
      • construction X applied to Ce(15) ⊂ Ce(12) [i] based on
        1. linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
        2. linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
        3. linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), 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 OOA(25642, 16515, F256, 4, 16) (dual of [(16515, 4), 66018, 17]-NRT-code) [i]OOA Folding