Information on Result #675530

Linear OA(3159, 6591, F3, 29) (dual of [6591, 6432, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
  1. linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), 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(3160, 6592, F3, 29) (dual of [6592, 6432, 30]-code) [i]Code Embedding in Larger Space
2Linear OOA(3159, 3358, F3, 2, 29) (dual of [(3358, 2), 6557, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3159, 3358, F3, 3, 29) (dual of [(3358, 3), 9915, 30]-NRT-code) [i]
4Linear OOA(3159, 3358, F3, 4, 29) (dual of [(3358, 4), 13273, 30]-NRT-code) [i]
5Linear OOA(3159, 3358, F3, 5, 29) (dual of [(3358, 5), 16631, 30]-NRT-code) [i]
6Digital (130, 159, 3358)-net over F3 [i]
7Linear OOA(3159, 3295, F3, 2, 29) (dual of [(3295, 2), 6431, 30]-NRT-code) [i]OOA Folding
8Linear OOA(3159, 2197, F3, 3, 29) (dual of [(2197, 3), 6432, 30]-NRT-code) [i]
9Linear OOA(3159, 1647, F3, 4, 29) (dual of [(1647, 4), 6429, 30]-NRT-code) [i]
10Linear OOA(3159, 1318, F3, 5, 29) (dual of [(1318, 5), 6431, 30]-NRT-code) [i]