Information on Result #737018

Linear OA(3191, 6614, F3, 33) (dual of [6614, 6423, 34]-code), using construction X applied to Ce(33) ⊂ Ce(25) based on
  1. 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]
  2. linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OOA(3191, 5186, F3, 2, 33) (dual of [(5186, 2), 10181, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3191, 5186, F3, 3, 33) (dual of [(5186, 3), 15367, 34]-NRT-code) [i]
3Linear OOA(3191, 5186, F3, 4, 33) (dual of [(5186, 4), 20553, 34]-NRT-code) [i]
4Linear OOA(3191, 5186, F3, 5, 33) (dual of [(5186, 5), 25739, 34]-NRT-code) [i]
5Digital (158, 191, 5186)-net over F3 [i]
6Linear OOA(3191, 3307, F3, 2, 33) (dual of [(3307, 2), 6423, 34]-NRT-code) [i]OOA Folding
7Linear OOA(3191, 2204, F3, 3, 33) (dual of [(2204, 3), 6421, 34]-NRT-code) [i]
8Linear OOA(3191, 1653, F3, 4, 33) (dual of [(1653, 4), 6421, 34]-NRT-code) [i]
9Linear OOA(3191, 1322, F3, 5, 33) (dual of [(1322, 5), 6419, 34]-NRT-code) [i]