Information on Result #686545

Linear OA(8134, 262181, F8, 25) (dual of [262181, 262047, 26]-code), using construction X applied to Ce(24) ⊂ Ce(18) based on
  1. linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using

Mode: Constructive and 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 OA(8135, 262182, F8, 25) (dual of [262182, 262047, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(8136, 262183, F8, 25) (dual of [262183, 262047, 26]-code) [i]
3Linear OA(8137, 262184, F8, 25) (dual of [262184, 262047, 26]-code) [i]
4Linear OA(8133, 262180, F8, 24) (dual of [262180, 262047, 25]-code) [i]Truncation
5Linear OA(8136, 262184, F8, 25) (dual of [262184, 262048, 26]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(8137, 262186, F8, 25) (dual of [262186, 262049, 26]-code) [i]
7Linear OOA(8134, 131090, F8, 2, 25) (dual of [(131090, 2), 262046, 26]-NRT-code) [i]OOA Folding
8Linear OOA(8134, 87393, F8, 3, 25) (dual of [(87393, 3), 262045, 26]-NRT-code) [i]
9Linear OOA(8134, 21848, F8, 25, 25) (dual of [(21848, 25), 546066, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row