Information on Result #689040

Linear OA(9109, 4782993, F9, 17) (dual of [4782993, 4782884, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) 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(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(93, 24, F9, 2) (dual of [24, 21, 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(9109, 4782993, F9, 2, 17) (dual of [(4782993, 2), 9565877, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9109, 4782993, F9, 3, 17) (dual of [(4782993, 3), 14348870, 18]-NRT-code) [i]
3Digital (92, 109, 4782993)-net over F9 [i]
4Linear OOA(9109, 2391496, F9, 2, 17) (dual of [(2391496, 2), 4782883, 18]-NRT-code) [i]OOA Folding
5Linear OOA(9109, 1594331, F9, 3, 17) (dual of [(1594331, 3), 4782884, 18]-NRT-code) [i]
6Linear OOA(9109, 597874, F9, 17, 17) (dual of [(597874, 17), 10163749, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row