Information on Result #900025

Linear OOA(25108, 195338, F25, 2, 25) (dual of [(195338, 2), 390568, 26]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2512, 26, F25, 2, 12) (dual of [(26, 2), 40, 13]-NRT-code), using
  2. linear OOA(2596, 195312, F25, 2, 25) (dual of [(195312, 2), 390528, 26]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2596, 390624, F25, 25) (dual of [390624, 390528, 26]-code), using
      • 1 times truncation [i] based on linear OA(2597, 390625, F25, 26) (dual of [390625, 390528, 27]-code), using
        • an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, 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(25108, 32556, F25, 26, 25) (dual of [(32556, 26), 846348, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row