Information on Result #699252

Linear OA(8169, 531464, F81, 22) (dual of [531464, 531395, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) 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(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(815, 23, F81, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,81)), 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(8169, 319928, F81, 2, 22) (dual of [(319928, 2), 639787, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8169, 319928, F81, 3, 22) (dual of [(319928, 3), 959715, 23]-NRT-code) [i]
3Linear OOA(8169, 319928, F81, 4, 22) (dual of [(319928, 4), 1279643, 23]-NRT-code) [i]
4Digital (47, 69, 319928)-net over F81 [i]
5Linear OOA(8169, 265732, F81, 2, 22) (dual of [(265732, 2), 531395, 23]-NRT-code) [i]OOA Folding
6Linear OOA(8169, 177154, F81, 3, 22) (dual of [(177154, 3), 531393, 23]-NRT-code) [i]
7Linear OOA(8169, 132866, F81, 4, 22) (dual of [(132866, 4), 531395, 23]-NRT-code) [i]