Information on Result #674431

Linear OA(3176, 1594368, F3, 20) (dual of [1594368, 1594192, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
  1. linear OA(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3177, 1594369, F3, 20) (dual of [1594369, 1594192, 21]-code) [i]Code Embedding in Larger Space
2Linear OA(3178, 1594370, F3, 20) (dual of [1594370, 1594192, 21]-code) [i]
3Linear OA(3179, 1594371, F3, 20) (dual of [1594371, 1594192, 21]-code) [i]
4Linear OA(3180, 1594372, F3, 20) (dual of [1594372, 1594192, 21]-code) [i]
5Linear OOA(3176, 797184, F3, 2, 20) (dual of [(797184, 2), 1594192, 21]-NRT-code) [i]OOA Folding
6Linear OOA(3176, 531456, F3, 3, 20) (dual of [(531456, 3), 1594192, 21]-NRT-code) [i]
7Linear OOA(3176, 398592, F3, 4, 20) (dual of [(398592, 4), 1594192, 21]-NRT-code) [i]
8Linear OOA(3176, 318873, F3, 5, 20) (dual of [(318873, 5), 1594189, 21]-NRT-code) [i]
9Linear OOA(3176, 159436, F3, 20, 20) (dual of [(159436, 20), 3188544, 21]-NRT-code) [i]OA Folding and Stacking