Information on Result #689025

Linear OA(960, 4782986, F9, 10) (dual of [4782986, 4782926, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
  1. linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(93, 17, F9, 2) (dual of [17, 14, 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 OOA(960, 4782986, F9, 2, 10) (dual of [(4782986, 2), 9565912, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(960, 4782986, F9, 3, 10) (dual of [(4782986, 3), 14348898, 11]-NRT-code) [i]
3Digital (50, 60, 4782986)-net over F9 [i]
4Linear OOA(960, 2391493, F9, 2, 10) (dual of [(2391493, 2), 4782926, 11]-NRT-code) [i]OOA Folding
5Linear OOA(960, 1594328, F9, 3, 10) (dual of [(1594328, 3), 4782924, 11]-NRT-code) [i]
6Linear OOA(960, 956597, F9, 10, 10) (dual of [(956597, 10), 9565910, 11]-NRT-code) [i]OA Folding and Stacking