Information on Result #699239

Linear OA(8162, 531460, F81, 20) (dual of [531460, 531398, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
  1. linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. 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]
  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(8162, 277122, F81, 2, 20) (dual of [(277122, 2), 554182, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8162, 277122, F81, 3, 20) (dual of [(277122, 3), 831304, 21]-NRT-code) [i]
3Linear OOA(8162, 277122, F81, 4, 20) (dual of [(277122, 4), 1108426, 21]-NRT-code) [i]
4Digital (42, 62, 277122)-net over F81 [i]
5Linear OOA(8162, 265730, F81, 2, 20) (dual of [(265730, 2), 531398, 21]-NRT-code) [i]OOA Folding
6Linear OOA(8162, 177153, F81, 3, 20) (dual of [(177153, 3), 531397, 21]-NRT-code) [i]
7Linear OOA(8162, 132865, F81, 4, 20) (dual of [(132865, 4), 531398, 21]-NRT-code) [i]
8Linear OOA(8162, 53146, F81, 20, 20) (dual of [(53146, 20), 1062858, 21]-NRT-code) [i]OA Folding and Stacking