Information on Result #895144

Linear OOA(3202, 4783025, F3, 2, 15) (dual of [(4783025, 2), 9565848, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(316, 41, F3, 2, 7) (dual of [(41, 2), 66, 8]-NRT-code), using
  2. linear OOA(3186, 4782984, F3, 2, 15) (dual of [(4782984, 2), 9565782, 16]-NRT-code), using
    • trace code [i] based on linear OOA(993, 2391492, F9, 2, 15) (dual of [(2391492, 2), 4782891, 16]-NRT-code), using
      • OOA 2-folding [i] based on linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-code), using
        • construction X applied to Ce(14) ⊂ Ce(12) [i] based on
          1. linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
          2. 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]
          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(3202, 2391512, F3, 4, 15) (dual of [(2391512, 4), 9565846, 16]-NRT-code) [i]OOA Folding