Information on Result #689729

Linear OA(9112, 6576, F9, 31) (dual of [6576, 6464, 32]-code), using construction X applied to Ce(30) ⊂ Ce(27) based on
  1. linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-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(9113, 6577, F9, 31) (dual of [6577, 6464, 32]-code) [i]Code Embedding in Larger Space
2Linear OOA(9112, 6537, F9, 2, 31) (dual of [(6537, 2), 12962, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(9112, 6537, F9, 3, 31) (dual of [(6537, 3), 19499, 32]-NRT-code) [i]
4Digital (81, 112, 6537)-net over F9 [i]
5Linear OA(9113, 6578, F9, 31) (dual of [6578, 6465, 32]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(9112, 3288, F9, 2, 31) (dual of [(3288, 2), 6464, 32]-NRT-code) [i]OOA Folding
7Linear OOA(9112, 2192, F9, 3, 31) (dual of [(2192, 3), 6464, 32]-NRT-code) [i]