Information on Result #674314

Linear OA(3119, 4783017, F3, 12) (dual of [4783017, 4782898, 13]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
  1. linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using

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(3119, 2391508, F3, 2, 12) (dual of [(2391508, 2), 4782897, 13]-NRT-code) [i]OOA Folding
2Linear OOA(3119, 1594339, F3, 3, 12) (dual of [(1594339, 3), 4782898, 13]-NRT-code) [i]
3Linear OOA(3119, 1195754, F3, 4, 12) (dual of [(1195754, 4), 4782897, 13]-NRT-code) [i]
4Linear OOA(3119, 956603, F3, 5, 12) (dual of [(956603, 5), 4782896, 13]-NRT-code) [i]
5Linear OOA(3119, 797169, F3, 12, 12) (dual of [(797169, 12), 9565909, 13]-NRT-code) [i]OA Folding and Stacking