Information on Result #1015914

Linear OOA(960, 6137046, F9, 3, 7) (dual of [(6137046, 3), 18411078, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(910, 544644, F9, 3, 3) (dual of [(544644, 3), 1633922, 4]-NRT-code), using
  2. linear OOA(950, 5592402, F9, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
    • trace code [i] based on linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(960, 6137045, F9, 9, 7) (dual of [(6137045, 9), 55233345, 8]-NRT-code) [i]OOA Stacking with Additional Row