Information on Result #737015

Linear OA(3199, 6614, F3, 35) (dual of [6614, 6415, 36]-code), using construction X applied to Ce(34) ⊂ Ce(27) based on
  1. linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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 OA(3203, 6620, F3, 35) (dual of [6620, 6417, 36]-code) [i]Construction X with VarÅ¡amov Bound
2Linear OA(3205, 6623, F3, 35) (dual of [6623, 6418, 36]-code) [i]
3Linear OOA(3199, 3307, F3, 2, 35) (dual of [(3307, 2), 6415, 36]-NRT-code) [i]OOA Folding
4Linear OOA(3199, 2204, F3, 3, 35) (dual of [(2204, 3), 6413, 36]-NRT-code) [i]
5Linear OOA(3199, 1653, F3, 4, 35) (dual of [(1653, 4), 6413, 36]-NRT-code) [i]
6Linear OOA(3199, 1322, F3, 5, 35) (dual of [(1322, 5), 6411, 36]-NRT-code) [i]