Information on Result #689023

Linear OA(967, 4782986, F9, 11) (dual of [4782986, 4782919, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
  1. linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(967, 4782986, F9, 2, 11) (dual of [(4782986, 2), 9565905, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(967, 4782986, F9, 3, 11) (dual of [(4782986, 3), 14348891, 12]-NRT-code) [i]
3Digital (56, 67, 4782986)-net over F9 [i]
4Linear OOA(967, 2391493, F9, 2, 11) (dual of [(2391493, 2), 4782919, 12]-NRT-code) [i]OOA Folding
5Linear OOA(967, 1594328, F9, 3, 11) (dual of [(1594328, 3), 4782917, 12]-NRT-code) [i]
6Linear OOA(967, 956597, F9, 11, 11) (dual of [(956597, 11), 10522500, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row