Information on Result #1302894

Linear OA(8142, 262184, F8, 26) (dual of [262184, 262042, 27]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code), using
    • construction X applied to Ce(25) ⊂ Ce(19) [i] based on
      1. linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
      2. 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]
      3. linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(8140, 262182, F8, 24) (dual of [262182, 262042, 25]-code), using Gilbert–VarÅ¡amov bound and bm = 8140 > Vbs−1(k−1) = 44 892603 789316 089569 088653 481570 084917 649643 136163 701904 756468 834255 430563 880674 177276 023366 324579 938010 837769 807032 269664 [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(8142, 262184, F8, 2, 26) (dual of [(262184, 2), 524226, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8142, 262184, F8, 3, 26) (dual of [(262184, 3), 786410, 27]-NRT-code) [i]
3Digital (116, 142, 262184)-net over F8 [i]
4Linear OOA(8142, 131092, F8, 2, 26) (dual of [(131092, 2), 262042, 27]-NRT-code) [i]OOA Folding