Information on Result #689066

Linear OA(9148, 4783011, F9, 23) (dual of [4783011, 4782863, 24]-code), using construction X applied to Ce(22) ⊂ Ce(16) based on
  1. linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(9149, 4783012, F9, 23) (dual of [4783012, 4782863, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(9150, 4783013, F9, 23) (dual of [4783013, 4782863, 24]-code) [i]
3Linear OOA(9148, 4783011, F9, 2, 23) (dual of [(4783011, 2), 9565874, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(9148, 4783011, F9, 3, 23) (dual of [(4783011, 3), 14348885, 24]-NRT-code) [i]
5Digital (125, 148, 4783011)-net over F9 [i]
6Linear OA(9149, 4783013, F9, 23) (dual of [4783013, 4782864, 24]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(9150, 4783015, F9, 23) (dual of [4783015, 4782865, 24]-code) [i]
8Linear OOA(9148, 2391505, F9, 2, 23) (dual of [(2391505, 2), 4782862, 24]-NRT-code) [i]OOA Folding
9Linear OOA(9148, 1594337, F9, 3, 23) (dual of [(1594337, 3), 4782863, 24]-NRT-code) [i]
10Linear OOA(9148, 434819, F9, 23, 23) (dual of [(434819, 23), 10000689, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row