Information on Result #689042

Linear OA(9102, 4782993, F9, 16) (dual of [4782993, 4782891, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
  1. linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(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(9102, 4782993, F9, 2, 16) (dual of [(4782993, 2), 9565884, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9102, 4782993, F9, 3, 16) (dual of [(4782993, 3), 14348877, 17]-NRT-code) [i]
3Digital (86, 102, 4782993)-net over F9 [i]
4Linear OOA(9102, 2391496, F9, 2, 16) (dual of [(2391496, 2), 4782890, 17]-NRT-code) [i]OOA Folding
5Linear OOA(9102, 1594331, F9, 3, 16) (dual of [(1594331, 3), 4782891, 17]-NRT-code) [i]
6Linear OOA(9102, 597874, F9, 16, 16) (dual of [(597874, 16), 9565882, 17]-NRT-code) [i]OA Folding and Stacking