Information on Result #699285

Linear OA(8173, 531480, F81, 22) (dual of [531480, 531407, 23]-code), using construction X applied to Ce(21) ⊂ Ce(11) 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(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(819, 39, F81, 9) (dual of [39, 30, 10]-code or 39-arc in PG(8,81)), 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(8173, 531480, F81, 2, 22) (dual of [(531480, 2), 1062887, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8173, 531480, F81, 3, 22) (dual of [(531480, 3), 1594367, 23]-NRT-code) [i]
3Linear OOA(8173, 531480, F81, 4, 22) (dual of [(531480, 4), 2125847, 23]-NRT-code) [i]
4Digital (51, 73, 531480)-net over F81 [i]
5Linear OOA(8173, 265740, F81, 2, 22) (dual of [(265740, 2), 531407, 23]-NRT-code) [i]OOA Folding
6Linear OOA(8173, 177160, F81, 3, 22) (dual of [(177160, 3), 531407, 23]-NRT-code) [i]
7Linear OOA(8173, 132870, F81, 4, 22) (dual of [(132870, 4), 531407, 23]-NRT-code) [i]