Information on Result #737022

Linear OA(3175, 6614, F3, 30) (dual of [6614, 6439, 31]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
  1. linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(3175, 5185, F3, 2, 30) (dual of [(5185, 2), 10195, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3175, 5185, F3, 3, 30) (dual of [(5185, 3), 15380, 31]-NRT-code) [i]
3Linear OOA(3175, 5185, F3, 4, 30) (dual of [(5185, 4), 20565, 31]-NRT-code) [i]
4Linear OOA(3175, 5185, F3, 5, 30) (dual of [(5185, 5), 25750, 31]-NRT-code) [i]
5Digital (145, 175, 5185)-net over F3 [i]
6Linear OOA(3175, 3307, F3, 2, 30) (dual of [(3307, 2), 6439, 31]-NRT-code) [i]OOA Folding
7Linear OOA(3175, 2204, F3, 3, 30) (dual of [(2204, 3), 6437, 31]-NRT-code) [i]
8Linear OOA(3175, 1653, F3, 4, 30) (dual of [(1653, 4), 6437, 31]-NRT-code) [i]
9Linear OOA(3175, 1322, F3, 5, 30) (dual of [(1322, 5), 6435, 31]-NRT-code) [i]