Information on Result #675994

Linear OA(332, 2200, F3, 7) (dual of [2200, 2168, 8]-code), using construction X applied to Ce(6) ⊂ Ce(3) based on
  1. linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(332, 1100, F3, 2, 7) (dual of [(1100, 2), 2168, 8]-NRT-code) [i]OOA Folding
2Linear OOA(332, 733, F3, 3, 7) (dual of [(733, 3), 2167, 8]-NRT-code) [i]
3Linear OOA(332, 733, F3, 4, 7) (dual of [(733, 4), 2900, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row
4Linear OOA(332, 733, F3, 5, 7) (dual of [(733, 5), 3633, 8]-NRT-code) [i]
5Linear OOA(332, 733, F3, 7, 7) (dual of [(733, 7), 5099, 8]-NRT-code) [i]