Information on Result #686404

Linear OA(8172, 262155, F8, 33) (dual of [262155, 261983, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,14]) based on
  1. linear OA(8169, 262145, F8, 33) (dual of [262145, 261976, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(8157, 262145, F8, 29) (dual of [262145, 261988, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(8172, 169999, F8, 2, 33) (dual of [(169999, 2), 339826, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8172, 169999, F8, 3, 33) (dual of [(169999, 3), 509825, 34]-NRT-code) [i]
3Digital (139, 172, 169999)-net over F8 [i]