Information on Result #674252

Linear OA(3226, 4782984, F3, 25) (dual of [4782984, 4782758, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
  1. linear OA(3225, 4782969, F3, 25) (dual of [4782969, 4782744, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(3211, 4782969, F3, 23) (dual of [4782969, 4782758, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-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(3227, 4782985, F3, 25) (dual of [4782985, 4782758, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(3228, 4782986, F3, 25) (dual of [4782986, 4782758, 26]-code) [i]
3Linear OA(3225, 4782983, F3, 24) (dual of [4782983, 4782758, 25]-code) [i]Truncation
4Linear OOA(3226, 2391492, F3, 2, 25) (dual of [(2391492, 2), 4782758, 26]-NRT-code) [i]OOA Folding
5Linear OOA(3226, 1594328, F3, 3, 25) (dual of [(1594328, 3), 4782758, 26]-NRT-code) [i]
6Linear OOA(3226, 1195746, F3, 4, 25) (dual of [(1195746, 4), 4782758, 26]-NRT-code) [i]
7Linear OOA(3226, 956596, F3, 5, 25) (dual of [(956596, 5), 4782754, 26]-NRT-code) [i]
8Linear OOA(3226, 398581, F3, 25, 25) (dual of [(398581, 25), 9964299, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row