Information on Result #1302733

Linear OA(8111, 262183, F8, 20) (dual of [262183, 262072, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8110, 262181, F8, 20) (dual of [262181, 262071, 21]-code), using
    • construction X applied to Ce(19) ⊂ Ce(13) [i] based on
      1. linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
      2. linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
      3. linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(8110, 262182, F8, 19) (dual of [262182, 262072, 20]-code), using Gilbert–VarÅ¡amov bound and bm = 8110 > Vbs−1(k−1) = 8 709563 608667 428235 585802 693265 642469 805517 002156 386113 718666 655956 852142 114070 132769 513810 337524 [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(8111, 262183, F8, 2, 20) (dual of [(262183, 2), 524255, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8111, 262183, F8, 3, 20) (dual of [(262183, 3), 786438, 21]-NRT-code) [i]
3Digital (91, 111, 262183)-net over F8 [i]