Information on Result #736944

Linear OA(3222, 19736, F3, 35) (dual of [19736, 19514, 36]-code), using construction X applied to Ce(34) ⊂ Ce(27) based on
  1. linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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 OOA(3222, 10286, F3, 2, 35) (dual of [(10286, 2), 20350, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3222, 10286, F3, 3, 35) (dual of [(10286, 3), 30636, 36]-NRT-code) [i]
3Linear OOA(3222, 10286, F3, 4, 35) (dual of [(10286, 4), 40922, 36]-NRT-code) [i]
4Linear OOA(3222, 10286, F3, 5, 35) (dual of [(10286, 5), 51208, 36]-NRT-code) [i]
5Digital (187, 222, 10286)-net over F3 [i]
6Linear OOA(3222, 9868, F3, 2, 35) (dual of [(9868, 2), 19514, 36]-NRT-code) [i]OOA Folding
7Linear OOA(3222, 6578, F3, 3, 35) (dual of [(6578, 3), 19512, 36]-NRT-code) [i]
8Linear OOA(3222, 4934, F3, 4, 35) (dual of [(4934, 4), 19514, 36]-NRT-code) [i]
9Linear OOA(3222, 3947, F3, 5, 35) (dual of [(3947, 5), 19513, 36]-NRT-code) [i]