Information on Result #699268

Linear OA(8152, 531468, F81, 16) (dual of [531468, 531416, 17]-code), using construction X applied to Ce(15) ⊂ Ce(8) based on
  1. 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]
  2. linear OA(8125, 531441, F81, 9) (dual of [531441, 531416, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(816, 27, F81, 6) (dual of [27, 21, 7]-code or 27-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 OOA(8152, 531468, F81, 2, 16) (dual of [(531468, 2), 1062884, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8152, 531468, F81, 3, 16) (dual of [(531468, 3), 1594352, 17]-NRT-code) [i]
3Linear OOA(8152, 531468, F81, 4, 16) (dual of [(531468, 4), 2125820, 17]-NRT-code) [i]
4Digital (36, 52, 531468)-net over F81 [i]
5Linear OOA(8152, 265734, F81, 2, 16) (dual of [(265734, 2), 531416, 17]-NRT-code) [i]OOA Folding
6Linear OOA(8152, 177156, F81, 3, 16) (dual of [(177156, 3), 531416, 17]-NRT-code) [i]
7Linear OOA(8152, 132867, F81, 4, 16) (dual of [(132867, 4), 531416, 17]-NRT-code) [i]