Information on Result #1016367

Linear OOA(9124, 1594343, F9, 3, 19) (dual of [(1594343, 3), 4782905, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(911, 20, F9, 3, 9) (dual of [(20, 3), 49, 10]-NRT-code), using
  2. linear OOA(9113, 1594323, F9, 3, 19) (dual of [(1594323, 3), 4782856, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using
      • an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(9124, 531447, F9, 21, 19) (dual of [(531447, 21), 11160263, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row