Information on Result #699260

Linear OA(8176, 531468, F81, 24) (dual of [531468, 531392, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
  1. linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(8176, 363036, F81, 2, 24) (dual of [(363036, 2), 725996, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8176, 363036, F81, 3, 24) (dual of [(363036, 3), 1089032, 25]-NRT-code) [i]
3Linear OOA(8176, 363036, F81, 4, 24) (dual of [(363036, 4), 1452068, 25]-NRT-code) [i]
4Digital (52, 76, 363036)-net over F81 [i]
5Linear OOA(8176, 265734, F81, 2, 24) (dual of [(265734, 2), 531392, 25]-NRT-code) [i]OOA Folding
6Linear OOA(8176, 177156, F81, 3, 24) (dual of [(177156, 3), 531392, 25]-NRT-code) [i]
7Linear OOA(8176, 132867, F81, 4, 24) (dual of [(132867, 4), 531392, 25]-NRT-code) [i]
8Linear OOA(8176, 44289, F81, 24, 24) (dual of [(44289, 24), 1062860, 25]-NRT-code) [i]OA Folding and Stacking