Information on Result #686882

Linear OA(878, 32800, F8, 17) (dual of [32800, 32722, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
  1. linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(87, 32, F8, 5) (dual of [32, 25, 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(879, 32801, F8, 17) (dual of [32801, 32722, 18]-code) [i]Code Embedding in Larger Space
2Linear OA(880, 32802, F8, 17) (dual of [32802, 32722, 18]-code) [i]
3Linear OA(877, 32799, F8, 16) (dual of [32799, 32722, 17]-code) [i]Truncation
4Linear OOA(878, 32800, F8, 2, 17) (dual of [(32800, 2), 65522, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(878, 32800, F8, 3, 17) (dual of [(32800, 3), 98322, 18]-NRT-code) [i]
6Digital (61, 78, 32800)-net over F8 [i]
7Linear OA(879, 32802, F8, 17) (dual of [32802, 32723, 18]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(880, 32804, F8, 17) (dual of [32804, 32724, 18]-code) [i]
9Linear OOA(878, 16400, F8, 2, 17) (dual of [(16400, 2), 32722, 18]-NRT-code) [i]OOA Folding
10Linear OOA(878, 10933, F8, 3, 17) (dual of [(10933, 3), 32721, 18]-NRT-code) [i]