Information on Result #1302701

Linear OA(8106, 262185, F8, 19) (dual of [262185, 262079, 20]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8104, 262181, F8, 19) (dual of [262181, 262077, 20]-code), using
    • construction X applied to Ce(18) ⊂ Ce(12) [i] based on
      1. linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
      2. linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      3. linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(8104, 262183, F8, 18) (dual of [262183, 262079, 19]-code), using Gilbert–VarÅ¡amov bound and bm = 8104 > Vbs−1(k−1) = 85 433014 311321 246639 375757 339977 814828 139860 345653 082245 067183 870574 296017 643039 030139 004442 [i]
  3. linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8106, 262185, F8, 2, 19) (dual of [(262185, 2), 524264, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8106, 262185, F8, 3, 19) (dual of [(262185, 3), 786449, 20]-NRT-code) [i]
3Digital (87, 106, 262185)-net over F8 [i]
4Linear OOA(8106, 131092, F8, 2, 19) (dual of [(131092, 2), 262078, 20]-NRT-code) [i]OOA Folding