Information on Result #699349

Linear OA(8140, 6585, F81, 17) (dual of [6585, 6545, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,4]) based on
  1. linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(8117, 6562, F81, 9) (dual of [6562, 6545, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  3. linear OA(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), 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(8140, 6585, F81, 2, 17) (dual of [(6585, 2), 13130, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8140, 6585, F81, 3, 17) (dual of [(6585, 3), 19715, 18]-NRT-code) [i]
3Linear OOA(8140, 6585, F81, 4, 17) (dual of [(6585, 4), 26300, 18]-NRT-code) [i]
4Digital (23, 40, 6585)-net over F81 [i]
5Linear OOA(8140, 3292, F81, 2, 17) (dual of [(3292, 2), 6544, 18]-NRT-code) [i]OOA Folding
6Linear OOA(8140, 2195, F81, 3, 17) (dual of [(2195, 3), 6545, 18]-NRT-code) [i]
7Linear OOA(8140, 1646, F81, 4, 17) (dual of [(1646, 4), 6544, 18]-NRT-code) [i]
8Linear OOA(8140, 823, F81, 17, 17) (dual of [(823, 17), 13951, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row