Information on Result #689055

Linear OA(9119, 4783003, F9, 19) (dual of [4783003, 4782884, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) 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(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(96, 34, F9, 4) (dual of [34, 28, 5]-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(9118, 4783002, F9, 18) (dual of [4783002, 4782884, 19]-code) [i]Truncation
2Linear OOA(9119, 3770681, F9, 2, 19) (dual of [(3770681, 2), 7541243, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(9119, 3770681, F9, 3, 19) (dual of [(3770681, 3), 11311924, 20]-NRT-code) [i]
4Digital (100, 119, 3770681)-net over F9 [i]
5Linear OOA(9119, 2391501, F9, 2, 19) (dual of [(2391501, 2), 4782883, 20]-NRT-code) [i]OOA Folding
6Linear OOA(9119, 1594334, F9, 3, 19) (dual of [(1594334, 3), 4782883, 20]-NRT-code) [i]
7Linear OOA(9119, 531444, F9, 19, 19) (dual of [(531444, 19), 10097317, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row