Information on Result #674297

Linear OA(3245, 4783017, F3, 26) (dual of [4783017, 4782772, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
  1. linear OA(3239, 4782969, F3, 26) (dual of [4782969, 4782730, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(3246, 4783018, F3, 26) (dual of [4783018, 4782772, 27]-code) [i]Code Embedding in Larger Space
2Linear OA(3247, 4783019, F3, 26) (dual of [4783019, 4782772, 27]-code) [i]
3Linear OA(3248, 4783020, F3, 26) (dual of [4783020, 4782772, 27]-code) [i]
4Linear OA(3249, 4783021, F3, 26) (dual of [4783021, 4782772, 27]-code) [i]
5Linear OOA(3245, 2391508, F3, 2, 26) (dual of [(2391508, 2), 4782771, 27]-NRT-code) [i]OOA Folding
6Linear OOA(3245, 1594339, F3, 3, 26) (dual of [(1594339, 3), 4782772, 27]-NRT-code) [i]
7Linear OOA(3245, 1195754, F3, 4, 26) (dual of [(1195754, 4), 4782771, 27]-NRT-code) [i]
8Linear OOA(3245, 956603, F3, 5, 26) (dual of [(956603, 5), 4782770, 27]-NRT-code) [i]
9Linear OOA(3245, 367924, F3, 26, 26) (dual of [(367924, 26), 9565779, 27]-NRT-code) [i]OA Folding and Stacking