Information on Result #675603

Linear OA(3178, 6618, F3, 31) (dual of [6618, 6440, 32]-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(317, 57, F3, 7) (dual of [57, 40, 8]-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(3178, 4739, F3, 2, 31) (dual of [(4739, 2), 9300, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3178, 4739, F3, 3, 31) (dual of [(4739, 3), 14039, 32]-NRT-code) [i]
3Linear OOA(3178, 4739, F3, 4, 31) (dual of [(4739, 4), 18778, 32]-NRT-code) [i]
4Linear OOA(3178, 4739, F3, 5, 31) (dual of [(4739, 5), 23517, 32]-NRT-code) [i]
5Digital (147, 178, 4739)-net over F3 [i]
6Linear OOA(3178, 3309, F3, 2, 31) (dual of [(3309, 2), 6440, 32]-NRT-code) [i]OOA Folding
7Linear OOA(3178, 2206, F3, 3, 31) (dual of [(2206, 3), 6440, 32]-NRT-code) [i]