Information on Result #674308

Linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
  1. linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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 OA(3176, 4783018, F3, 18) (dual of [4783018, 4782842, 19]-code) [i]Code Embedding in Larger Space
2Linear OOA(3175, 2391508, F3, 2, 18) (dual of [(2391508, 2), 4782841, 19]-NRT-code) [i]OOA Folding
3Linear OOA(3175, 1594339, F3, 3, 18) (dual of [(1594339, 3), 4782842, 19]-NRT-code) [i]
4Linear OOA(3175, 1195754, F3, 4, 18) (dual of [(1195754, 4), 4782841, 19]-NRT-code) [i]
5Linear OOA(3175, 956603, F3, 5, 18) (dual of [(956603, 5), 4782840, 19]-NRT-code) [i]
6Linear OOA(3175, 531446, F3, 18, 18) (dual of [(531446, 18), 9565853, 19]-NRT-code) [i]OA Folding and Stacking