Information on Result #689082

Linear OA(9113, 4783018, F9, 17) (dual of [4783018, 4782905, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
  1. 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]
  2. 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]
  3. linear OA(97, 49, F9, 5) (dual of [49, 42, 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(9114, 4783019, F9, 17) (dual of [4783019, 4782905, 18]-code) [i]Code Embedding in Larger Space
2Linear OA(9115, 4783020, F9, 17) (dual of [4783020, 4782905, 18]-code) [i]
3Linear OA(9116, 4783021, F9, 17) (dual of [4783021, 4782905, 18]-code) [i]
4Linear OOA(9113, 4783018, F9, 2, 17) (dual of [(4783018, 2), 9565923, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(9113, 4783018, F9, 3, 17) (dual of [(4783018, 3), 14348941, 18]-NRT-code) [i]
6Digital (96, 113, 4783018)-net over F9 [i]
7Linear OOA(9113, 2391509, F9, 2, 17) (dual of [(2391509, 2), 4782905, 18]-NRT-code) [i]OOA Folding
8Linear OOA(9113, 1594339, F9, 3, 17) (dual of [(1594339, 3), 4782904, 18]-NRT-code) [i]
9Linear OOA(9113, 597877, F9, 17, 17) (dual of [(597877, 17), 10163796, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row