Information on Result #674433

Linear OA(3166, 1594371, F3, 19) (dual of [1594371, 1594205, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
  1. linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(39, 48, F3, 4) (dual of [48, 39, 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(3167, 1594372, F3, 19) (dual of [1594372, 1594205, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(3165, 1594370, F3, 18) (dual of [1594370, 1594205, 19]-code) [i]Truncation
3Linear OOA(3166, 797185, F3, 2, 19) (dual of [(797185, 2), 1594204, 20]-NRT-code) [i]OOA Folding
4Linear OOA(3166, 531457, F3, 3, 19) (dual of [(531457, 3), 1594205, 20]-NRT-code) [i]
5Linear OOA(3166, 398592, F3, 4, 19) (dual of [(398592, 4), 1594202, 20]-NRT-code) [i]
6Linear OOA(3166, 318874, F3, 5, 19) (dual of [(318874, 5), 1594204, 20]-NRT-code) [i]
7Linear OOA(3166, 177152, F3, 19, 19) (dual of [(177152, 19), 3365722, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row