Information on Result #686561

Linear OA(8138, 262191, F8, 25) (dual of [262191, 262053, 26]-code), using construction X applied to Ce(24) ⊂ Ce(17) 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(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(811, 47, F8, 6) (dual of [47, 36, 7]-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(8139, 262192, F8, 25) (dual of [262192, 262053, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(8137, 262190, F8, 24) (dual of [262190, 262053, 25]-code) [i]Truncation
3Linear OA(8139, 262193, F8, 25) (dual of [262193, 262054, 26]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OOA(8138, 131095, F8, 2, 25) (dual of [(131095, 2), 262052, 26]-NRT-code) [i]OOA Folding
5Linear OOA(8138, 87397, F8, 3, 25) (dual of [(87397, 3), 262053, 26]-NRT-code) [i]
6Linear OOA(8138, 21849, F8, 25, 25) (dual of [(21849, 25), 546087, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row