Information on Result #699272

Linear OA(8171, 531472, F81, 22) (dual of [531472, 531401, 23]-code), using construction X applied to Ce(21) ⊂ Ce(13) based on
  1. linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(817, 31, F81, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,81)), 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 OOA(8171, 496485, F81, 2, 22) (dual of [(496485, 2), 992899, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8171, 496485, F81, 3, 22) (dual of [(496485, 3), 1489384, 23]-NRT-code) [i]
3Linear OOA(8171, 496485, F81, 4, 22) (dual of [(496485, 4), 1985869, 23]-NRT-code) [i]
4Digital (49, 71, 496485)-net over F81 [i]
5Linear OOA(8171, 265736, F81, 2, 22) (dual of [(265736, 2), 531401, 23]-NRT-code) [i]OOA Folding
6Linear OOA(8171, 177157, F81, 3, 22) (dual of [(177157, 3), 531400, 23]-NRT-code) [i]
7Linear OOA(8171, 132868, F81, 4, 22) (dual of [(132868, 4), 531401, 23]-NRT-code) [i]