Information on Result #700453

Linear OA(25659, 65562, F256, 26) (dual of [65562, 65503, 27]-code), using construction X applied to Ce(25) ⊂ Ce(16) based on
  1. linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(2568, 26, F256, 8) (dual of [26, 18, 9]-code or 26-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 OA(16118, 131124, F16, 26) (dual of [131124, 131006, 27]-code) [i]Trace Code
2OA(12868, 65562, S128, 26) [i]Discarding Parts of the Base for OAs
3Linear OOA(25659, 32781, F256, 2, 26) (dual of [(32781, 2), 65503, 27]-NRT-code) [i]OOA Folding
4Linear OOA(25659, 21854, F256, 3, 26) (dual of [(21854, 3), 65503, 27]-NRT-code) [i]
5Linear OOA(25659, 16390, F256, 4, 26) (dual of [(16390, 4), 65501, 27]-NRT-code) [i]
6Linear OOA(25659, 13112, F256, 5, 26) (dual of [(13112, 5), 65501, 27]-NRT-code) [i]
7Linear OOA(25659, 10927, F256, 6, 26) (dual of [(10927, 6), 65503, 27]-NRT-code) [i]