Information on Result #694324

Linear OA(2574, 650, F25, 35) (dual of [650, 576, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
  1. linear OA(2566, 625, F25, 35) (dual of [625, 559, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), 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(2574, 325, F25, 2, 35) (dual of [(325, 2), 576, 36]-NRT-code) [i]OOA Folding