Information on Result #1019446

Linear OOA(12864, 699180, F128, 3, 19) (dual of [(699180, 3), 2097476, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1289, 129, F128, 3, 9) (dual of [(129, 3), 378, 10]-NRT-code), using
  2. linear OOA(12855, 699051, F128, 3, 19) (dual of [(699051, 3), 2097098, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(12864, 233059, F128, 21, 19) (dual of [(233059, 21), 4894175, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row