Information on Result #699221

Linear OA(8121, 531452, F81, 7) (dual of [531452, 531431, 8]-code), using construction X applied to Ce(6) ⊂ Ce(3) based on
  1. linear OA(8119, 531441, F81, 7) (dual of [531441, 531422, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(812, 11, F81, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,81)), 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(8121, 531452, F81, 2, 7) (dual of [(531452, 2), 1062883, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8121, 531452, F81, 3, 7) (dual of [(531452, 3), 1594335, 8]-NRT-code) [i]
3Linear OOA(8121, 531452, F81, 4, 7) (dual of [(531452, 4), 2125787, 8]-NRT-code) [i]
4Digital (14, 21, 531452)-net over F81 [i]
5Linear OOA(8121, 265726, F81, 2, 7) (dual of [(265726, 2), 531431, 8]-NRT-code) [i]OOA Folding
6Linear OOA(8121, 177150, F81, 4, 7) (dual of [(177150, 4), 708579, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row
7Linear OOA(8121, 177150, F81, 7, 7) (dual of [(177150, 7), 1240029, 8]-NRT-code) [i]