Information on Result #687058

Linear OA(860, 4107, F8, 17) (dual of [4107, 4047, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
  1. linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(849, 4097, F8, 13) (dual of [4097, 4048, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  3. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(860, 3264, F8, 2, 17) (dual of [(3264, 2), 6468, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(860, 3264, F8, 3, 17) (dual of [(3264, 3), 9732, 18]-NRT-code) [i]
3Digital (43, 60, 3264)-net over F8 [i]
4Linear OOA(860, 2053, F8, 2, 17) (dual of [(2053, 2), 4046, 18]-NRT-code) [i]OOA Folding
5Linear OOA(860, 1369, F8, 3, 17) (dual of [(1369, 3), 4047, 18]-NRT-code) [i]