Information on Result #1302468

Linear OA(858, 262161, F8, 11) (dual of [262161, 262103, 12]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(856, 262158, F8, 11) (dual of [262158, 262102, 12]-code), using
    • construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
      1. linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
      2. linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      3. linear OA(813, 14, F8, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,8)), using
      4. linear OA(81, 14, F8, 1) (dual of [14, 13, 2]-code), using
  2. linear OA(856, 262159, F8, 9) (dual of [262159, 262103, 10]-code), using Gilbert–VarÅ¡amov bound and bm = 856 > Vbs−1(k−1) = 3189 511891 402191 653256 900365 834789 805221 378311 [i]
  3. linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-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(858, 262161, F8, 2, 11) (dual of [(262161, 2), 524264, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(858, 262161, F8, 3, 11) (dual of [(262161, 3), 786425, 12]-NRT-code) [i]
3Digital (47, 58, 262161)-net over F8 [i]