Information on Result #1302590

Linear OA(879, 32802, F8, 17) (dual of [32802, 32723, 18]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(878, 32800, F8, 17) (dual of [32800, 32722, 18]-code), using
    • construction X applied to Ce(16) ⊂ Ce(10) [i] 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
  2. linear OA(878, 32801, F8, 16) (dual of [32801, 32723, 17]-code), using Gilbert–VarÅ¡amov bound and bm = 878 > Vbs−1(k−1) = 198 023418 585156 007258 150284 859167 982640 685729 291439 038544 193125 469661 [i]
  3. linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using

Mode: 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(879, 32802, F8, 2, 17) (dual of [(32802, 2), 65525, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(879, 32802, F8, 3, 17) (dual of [(32802, 3), 98327, 18]-NRT-code) [i]
3Digital (62, 79, 32802)-net over F8 [i]
4Linear OOA(879, 16401, F8, 2, 17) (dual of [(16401, 2), 32723, 18]-NRT-code) [i]OOA Folding