Information on Result #1010689

Linear OOA(3171, 3188698, F3, 3, 13) (dual of [(3188698, 3), 9565923, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
  2. linear OOA(3158, 3188656, F3, 3, 13) (dual of [(3188656, 3), 9565810, 14]-NRT-code), using
    • trace code [i] based on linear OOA(979, 1594328, F9, 3, 13) (dual of [(1594328, 3), 4782905, 14]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code), using
        • construction X applied to Ce(12) ⊂ Ce(10) [i] based on
          1. linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
          2. linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
          3. linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using

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(3172, 3188698, F3, 3, 13) (dual of [(3188698, 3), 9565922, 14]-NRT-code) [i]OOA Duplication
2Linear OOA(3171, 1594348, F3, 15, 13) (dual of [(1594348, 15), 23915049, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row