Information on Result #735926

Linear OA(25665, 66827, F256, 23) (dual of [66827, 66762, 24]-code), using (u, u+v)-construction based on
  1. linear OA(25619, 1285, F256, 11) (dual of [1285, 1266, 12]-code), using
    • the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,155,309,…,256}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(25646, 65542, F256, 23) (dual of [65542, 65496, 24]-code), using
    • construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
      1. linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
      2. linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
      3. linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), 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(25665, 33413, F256, 2, 23) (dual of [(33413, 2), 66761, 24]-NRT-code) [i]OOA Folding
2Linear OOA(25665, 22275, F256, 3, 23) (dual of [(22275, 3), 66760, 24]-NRT-code) [i]
3Linear OOA(25665, 13365, F256, 5, 23) (dual of [(13365, 5), 66760, 24]-NRT-code) [i]
4Linear OOA(25665, 6075, F256, 23, 23) (dual of [(6075, 23), 139660, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row