Information on Result #1302811

Linear OA(8123, 262184, F8, 22) (dual of [262184, 262061, 23]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8121, 262180, F8, 22) (dual of [262180, 262059, 23]-code), using
    • construction X applied to Ce(21) ⊂ Ce(16) [i] based on
      1. linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
      2. linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
      3. linear OA(86, 36, F8, 4) (dual of [36, 30, 5]-code), using
  2. linear OA(8121, 262182, F8, 21) (dual of [262182, 262061, 22]-code), using Gilbert–VarÅ¡amov bound and bm = 8121 > Vbs−1(k−1) = 77188 125050 973760 243681 891767 763044 522916 608971 787334 412893 106566 066404 108356 229360 688085 547352 251764 256254 [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(8123, 262184, F8, 2, 22) (dual of [(262184, 2), 524245, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8123, 262184, F8, 3, 22) (dual of [(262184, 3), 786429, 23]-NRT-code) [i]
3Digital (101, 123, 262184)-net over F8 [i]
4Linear OOA(8123, 131092, F8, 2, 22) (dual of [(131092, 2), 262061, 23]-NRT-code) [i]OOA Folding