Information on Result #1016051

Linear OOA(995, 5595642, F9, 3, 11) (dual of [(5595642, 3), 16786831, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(913, 3240, F9, 3, 5) (dual of [(3240, 3), 9707, 6]-NRT-code), using
  2. linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
    • trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(995, 2797820, F9, 15, 11) (dual of [(2797820, 15), 41967205, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row