Information on Result #674425

Linear OA(3218, 1594371, F3, 25) (dual of [1594371, 1594153, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
  1. linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. 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]
  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(3219, 1594372, F3, 25) (dual of [1594372, 1594153, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(3217, 1594370, F3, 24) (dual of [1594370, 1594153, 25]-code) [i]Truncation
3Linear OOA(3218, 797185, F3, 2, 25) (dual of [(797185, 2), 1594152, 26]-NRT-code) [i]OOA Folding
4Linear OOA(3218, 531457, F3, 3, 25) (dual of [(531457, 3), 1594153, 26]-NRT-code) [i]
5Linear OOA(3218, 398592, F3, 4, 25) (dual of [(398592, 4), 1594150, 26]-NRT-code) [i]
6Linear OOA(3218, 318874, F3, 5, 25) (dual of [(318874, 5), 1594152, 26]-NRT-code) [i]
7Linear OOA(3218, 132864, F3, 25, 25) (dual of [(132864, 25), 3321382, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row