Information on Result #699553

Linear OA(8157, 6581, F81, 26) (dual of [6581, 6524, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(816, 20, F81, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,81)), 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(9114, 13162, F9, 26) (dual of [13162, 13048, 27]-code) [i]Trace Code
2Linear OOA(8157, 3467, F81, 2, 26) (dual of [(3467, 2), 6877, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8157, 3467, F81, 3, 26) (dual of [(3467, 3), 10344, 27]-NRT-code) [i]
4Linear OOA(8157, 3467, F81, 4, 26) (dual of [(3467, 4), 13811, 27]-NRT-code) [i]
5Digital (31, 57, 3467)-net over F81 [i]
6Linear OOA(8157, 3290, F81, 2, 26) (dual of [(3290, 2), 6523, 27]-NRT-code) [i]OOA Folding
7Linear OOA(8157, 2193, F81, 3, 26) (dual of [(2193, 3), 6522, 27]-NRT-code) [i]
8Linear OOA(8157, 1645, F81, 4, 26) (dual of [(1645, 4), 6523, 27]-NRT-code) [i]