Information on Result #699135

Linear OA(8160, 531465, F81, 19) (dual of [531465, 531405, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
  1. linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(8137, 531442, F81, 13) (dual of [531442, 531405, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(8160, 377061, F81, 2, 19) (dual of [(377061, 2), 754062, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8160, 377061, F81, 3, 19) (dual of [(377061, 3), 1131123, 20]-NRT-code) [i]
3Linear OOA(8160, 377061, F81, 4, 19) (dual of [(377061, 4), 1508184, 20]-NRT-code) [i]
4Digital (41, 60, 377061)-net over F81 [i]
5Linear OOA(8160, 265732, F81, 2, 19) (dual of [(265732, 2), 531404, 20]-NRT-code) [i]OOA Folding
6Linear OOA(8160, 177155, F81, 3, 19) (dual of [(177155, 3), 531405, 20]-NRT-code) [i]
7Linear OOA(8160, 132866, F81, 4, 19) (dual of [(132866, 4), 531404, 20]-NRT-code) [i]