Information on Result #666121

Linear OA(2595, 16249, F25, 25) (dual of [16249, 16154, 26]-code), using (u, u+v)-construction based on
  1. linear OA(2523, 625, F25, 12) (dual of [625, 602, 13]-code), using
    • an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using
    • 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
      • an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]

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(2595, 1354, F25, 25, 25) (dual of [(1354, 25), 33755, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row