Information on Result #675236

Linear OA(3224, 19744, F3, 35) (dual of [19744, 19520, 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(316, 61, F3, 6) (dual of [61, 45, 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(3224, 10997, F3, 2, 35) (dual of [(10997, 2), 21770, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3224, 10997, F3, 3, 35) (dual of [(10997, 3), 32767, 36]-NRT-code) [i]
3Linear OOA(3224, 10997, F3, 4, 35) (dual of [(10997, 4), 43764, 36]-NRT-code) [i]
4Linear OOA(3224, 10997, F3, 5, 35) (dual of [(10997, 5), 54761, 36]-NRT-code) [i]
5Digital (189, 224, 10997)-net over F3 [i]
6Linear OOA(3224, 9872, F3, 2, 35) (dual of [(9872, 2), 19520, 36]-NRT-code) [i]OOA Folding
7Linear OOA(3224, 4936, F3, 4, 35) (dual of [(4936, 4), 19520, 36]-NRT-code) [i]