Information on Result #699357

Linear OA(8154, 6591, F81, 23) (dual of [6591, 6537, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,6]) based on
  1. linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(8125, 6562, F81, 13) (dual of [6562, 6537, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  3. linear OA(819, 29, F81, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,81)), 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(8154, 6591, F81, 2, 23) (dual of [(6591, 2), 13128, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8154, 6591, F81, 3, 23) (dual of [(6591, 3), 19719, 24]-NRT-code) [i]
3Linear OOA(8154, 6591, F81, 4, 23) (dual of [(6591, 4), 26310, 24]-NRT-code) [i]
4Digital (31, 54, 6591)-net over F81 [i]
5Linear OOA(8154, 3295, F81, 2, 23) (dual of [(3295, 2), 6536, 24]-NRT-code) [i]OOA Folding
6Linear OOA(8154, 2197, F81, 3, 23) (dual of [(2197, 3), 6537, 24]-NRT-code) [i]
7Linear OOA(8154, 1647, F81, 4, 23) (dual of [(1647, 4), 6534, 24]-NRT-code) [i]
8Linear OOA(8154, 599, F81, 23, 23) (dual of [(599, 23), 13723, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row