Information on Result #674257

Linear OA(3170, 4782984, F3, 19) (dual of [4782984, 4782814, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) based on
  1. linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3171, 4782985, F3, 19) (dual of [4782985, 4782814, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(3172, 4782986, F3, 19) (dual of [4782986, 4782814, 20]-code) [i]
3Linear OA(3169, 4782983, F3, 18) (dual of [4782983, 4782814, 19]-code) [i]Truncation
4Linear OOA(3170, 2391492, F3, 2, 19) (dual of [(2391492, 2), 4782814, 20]-NRT-code) [i]OOA Folding
5Linear OOA(3170, 1594328, F3, 3, 19) (dual of [(1594328, 3), 4782814, 20]-NRT-code) [i]
6Linear OOA(3170, 1195746, F3, 4, 19) (dual of [(1195746, 4), 4782814, 20]-NRT-code) [i]
7Linear OOA(3170, 956596, F3, 5, 19) (dual of [(956596, 5), 4782810, 20]-NRT-code) [i]
8Linear OOA(3170, 531442, F3, 19, 19) (dual of [(531442, 19), 10097228, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row