Information on Result #1324364

Linear OA(8156, 262192, F8, 28) (dual of [262192, 262036, 29]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8155, 262190, F8, 28) (dual of [262190, 262035, 29]-code), using
    • construction X applied to Ce(27) ⊂ Ce(20) [i] based on
      1. linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
      2. linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      3. linear OA(810, 46, F8, 6) (dual of [46, 36, 7]-code), using
  2. linear OA(8155, 262191, F8, 27) (dual of [262191, 262036, 28]-code), using Gilbert–VarÅ¡amov bound and bm = 8155 > Vbs−1(k−1) = 17799 878092 242579 724217 002574 749910 542132 386391 455835 837140 161475 006679 293155 302597 125541 069658 076875 533989 062796 283167 767726 770410 732796 [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(8156, 262192, F8, 2, 28) (dual of [(262192, 2), 524228, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8156, 262192, F8, 3, 28) (dual of [(262192, 3), 786420, 29]-NRT-code) [i]
3Digital (128, 156, 262192)-net over F8 [i]
4Linear OOA(8156, 131096, F8, 2, 28) (dual of [(131096, 2), 262036, 29]-NRT-code) [i]OOA Folding