Information on Result #699244

Linear OA(8147, 531460, F81, 15) (dual of [531460, 531413, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
  1. linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(814, 19, F81, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,81)), 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(8147, 401246, F81, 2, 15) (dual of [(401246, 2), 802445, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8147, 401246, F81, 3, 15) (dual of [(401246, 3), 1203691, 16]-NRT-code) [i]
3Linear OOA(8147, 401246, F81, 4, 15) (dual of [(401246, 4), 1604937, 16]-NRT-code) [i]
4Digital (32, 47, 401246)-net over F81 [i]
5Linear OOA(8147, 265730, F81, 2, 15) (dual of [(265730, 2), 531413, 16]-NRT-code) [i]OOA Folding
6Linear OOA(8147, 177153, F81, 3, 15) (dual of [(177153, 3), 531412, 16]-NRT-code) [i]
7Linear OOA(8147, 132865, F81, 4, 15) (dual of [(132865, 4), 531413, 16]-NRT-code) [i]