Information on Result #674427

Linear OA(3202, 1594368, F3, 23) (dual of [1594368, 1594166, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
  1. linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. 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]
  3. linear OA(36, 45, F3, 3) (dual of [45, 39, 4]-code or 45-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(3203, 1594369, F3, 23) (dual of [1594369, 1594166, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(3204, 1594370, F3, 23) (dual of [1594370, 1594166, 24]-code) [i]
3Linear OA(3205, 1594371, F3, 23) (dual of [1594371, 1594166, 24]-code) [i]
4Linear OA(3206, 1594372, F3, 23) (dual of [1594372, 1594166, 24]-code) [i]
5Linear OOA(3202, 797184, F3, 2, 23) (dual of [(797184, 2), 1594166, 24]-NRT-code) [i]OOA Folding
6Linear OOA(3202, 531456, F3, 3, 23) (dual of [(531456, 3), 1594166, 24]-NRT-code) [i]
7Linear OOA(3202, 398592, F3, 4, 23) (dual of [(398592, 4), 1594166, 24]-NRT-code) [i]
8Linear OOA(3202, 318873, F3, 5, 23) (dual of [(318873, 5), 1594163, 24]-NRT-code) [i]
9Linear OOA(3202, 144942, F3, 23, 23) (dual of [(144942, 23), 3333464, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row