Information on Result #686641

Linear OA(874, 32779, F8, 17) (dual of [32779, 32705, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
  1. linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(861, 32769, F8, 13) (dual of [32769, 32708, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, 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(874, 22779, F8, 2, 17) (dual of [(22779, 2), 45484, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(874, 22779, F8, 3, 17) (dual of [(22779, 3), 68263, 18]-NRT-code) [i]
3Digital (57, 74, 22779)-net over F8 [i]