Information on Result #619823

Linear OA(25645, 65546, F256, 19) (dual of [65546, 65501, 20]-code), using construction X applied to C([0,9]) ⊂ C([1,9]) based on
  1. linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(25636, 65537, F256, 10) (dual of [65537, 65501, 11]-code), using the narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [1,9], and minimum distance d ≥ |{−9,−7,−5,…,9}|+1 = 11 (BCH-bound) [i]
  3. linear OA(2568, 9, F256, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,256)), 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(25645, 48131, F256, 2, 19) (dual of [(48131, 2), 96217, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(25645, 48131, F256, 3, 19) (dual of [(48131, 3), 144348, 20]-NRT-code) [i]
3Linear OOA(25645, 48131, F256, 4, 19) (dual of [(48131, 4), 192479, 20]-NRT-code) [i]
4Linear OOA(25645, 48131, F256, 5, 19) (dual of [(48131, 5), 240610, 20]-NRT-code) [i]
5Linear OOA(25645, 48131, F256, 6, 19) (dual of [(48131, 6), 288741, 20]-NRT-code) [i]
6Digital (26, 45, 48131)-net over F256 [i]