Information on Result #689070

Linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using construction X applied to Ce(18) ⊂ Ce(12) based on
  1. linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-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(9121, 4783012, F9, 19) (dual of [4783012, 4782891, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(9122, 4783013, F9, 19) (dual of [4783013, 4782891, 20]-code) [i]
3Linear OA(9123, 4783014, F9, 19) (dual of [4783014, 4782891, 20]-code) [i]
4Linear OA(9119, 4783010, F9, 18) (dual of [4783010, 4782891, 19]-code) [i]Truncation
5Linear OA(9121, 4783013, F9, 19) (dual of [4783013, 4782892, 20]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(9122, 4783015, F9, 19) (dual of [4783015, 4782893, 20]-code) [i]
7Linear OA(9123, 4783017, F9, 19) (dual of [4783017, 4782894, 20]-code) [i]
8Linear OOA(9120, 2391505, F9, 2, 19) (dual of [(2391505, 2), 4782890, 20]-NRT-code) [i]OOA Folding
9Linear OOA(9120, 1594337, F9, 3, 19) (dual of [(1594337, 3), 4782891, 20]-NRT-code) [i]
10Linear OOA(9120, 531445, F9, 19, 19) (dual of [(531445, 19), 10097335, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row