Information on Result #675518

Linear OA(3207, 6591, F3, 38) (dual of [6591, 6384, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
  1. linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3208, 6592, F3, 38) (dual of [6592, 6384, 39]-code) [i]Code Embedding in Larger Space
2Linear OOA(3207, 3802, F3, 2, 38) (dual of [(3802, 2), 7397, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3207, 3802, F3, 3, 38) (dual of [(3802, 3), 11199, 39]-NRT-code) [i]
4Linear OOA(3207, 3802, F3, 4, 38) (dual of [(3802, 4), 15001, 39]-NRT-code) [i]
5Linear OOA(3207, 3802, F3, 5, 38) (dual of [(3802, 5), 18803, 39]-NRT-code) [i]
6Digital (169, 207, 3802)-net over F3 [i]
7Linear OOA(3207, 3295, F3, 2, 38) (dual of [(3295, 2), 6383, 39]-NRT-code) [i]OOA Folding
8Linear OOA(3207, 2197, F3, 3, 38) (dual of [(2197, 3), 6384, 39]-NRT-code) [i]
9Linear OOA(3207, 1647, F3, 4, 38) (dual of [(1647, 4), 6381, 39]-NRT-code) [i]
10Linear OOA(3207, 1318, F3, 5, 38) (dual of [(1318, 5), 6383, 39]-NRT-code) [i]