Information on Result #700274

Linear OA(25656, 65560, F256, 25) (dual of [65560, 65504, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
  1. linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  3. linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), 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(16112, 131120, F16, 25) (dual of [131120, 131008, 26]-code) [i]Trace Code
2OA(12864, 65560, S128, 25) [i]Discarding Parts of the Base for OAs
3Linear OOA(25656, 32780, F256, 2, 25) (dual of [(32780, 2), 65504, 26]-NRT-code) [i]OOA Folding
4Linear OOA(25656, 21853, F256, 3, 25) (dual of [(21853, 3), 65503, 26]-NRT-code) [i]
5Linear OOA(25656, 16390, F256, 4, 25) (dual of [(16390, 4), 65504, 26]-NRT-code) [i]
6Linear OOA(25656, 13112, F256, 5, 25) (dual of [(13112, 5), 65504, 26]-NRT-code) [i]
7Linear OOA(25656, 5463, F256, 25, 25) (dual of [(5463, 25), 136519, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row