Information on Result #674303

Linear OA(3206, 4783020, F3, 22) (dual of [4783020, 4782814, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. 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]
  2. linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(39, 51, F3, 4) (dual of [51, 42, 5]-code), 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(3207, 4783021, F3, 22) (dual of [4783021, 4782814, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(3205, 4783019, F3, 21) (dual of [4783019, 4782814, 22]-code) [i]Truncation
3Linear OOA(3206, 2391510, F3, 2, 22) (dual of [(2391510, 2), 4782814, 23]-NRT-code) [i]OOA Folding
4Linear OOA(3206, 1594340, F3, 3, 22) (dual of [(1594340, 3), 4782814, 23]-NRT-code) [i]
5Linear OOA(3206, 1195755, F3, 4, 22) (dual of [(1195755, 4), 4782814, 23]-NRT-code) [i]
6Linear OOA(3206, 956604, F3, 5, 22) (dual of [(956604, 5), 4782814, 23]-NRT-code) [i]
7Linear OOA(3206, 434820, F3, 22, 22) (dual of [(434820, 22), 9565834, 23]-NRT-code) [i]OA Folding and Stacking