Information on Result #900016

Linear OOA(2593, 7916, F25, 2, 25) (dual of [(7916, 2), 15739, 26]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2521, 104, F25, 2, 12) (dual of [(104, 2), 187, 13]-NRT-code), using
  2. linear OOA(2572, 7812, F25, 2, 25) (dual of [(7812, 2), 15552, 26]-NRT-code), using
    • OOA 2-folding [i] based on 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(2593, 1319, F25, 26, 25) (dual of [(1319, 26), 34201, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row