Information on Result #1013697

Linear OOA(734, 5652, F7, 3, 7) (dual of [(5652, 3), 16922, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(74, 50, F7, 3, 3) (dual of [(50, 3), 146, 4]-NRT-code), using
  2. linear OOA(730, 5602, F7, 3, 7) (dual of [(5602, 3), 16776, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(730, 16806, F7, 7) (dual of [16806, 16776, 8]-code), using
      • 1 times truncation [i] based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
        • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(734, 5651, F7, 9, 7) (dual of [(5651, 9), 50825, 8]-NRT-code) [i]OOA Stacking with Additional Row