MinT - Information on Result #954266

Information on Result #954266

Linear OOA(3⁴⁷, 17, F₃, 3, 32) (dual of [(17, 3), 4, 33]-NRT-code), using OOA 3-folding based on linear OA(3⁴⁷, 51, F₃, 32) (dual of [51, 4, 33]-code), using

discarding factors / shortening the dual code based on linear OA(3⁴⁷, 53, F₃, 32) (dual of [53, 6, 33]-code), using
- 3 times truncation [i] based on linear OA(3⁵⁰, 56, F₃, 35) (dual of [56, 6, 36]-code), using
  - dual code (with bound on d by constructionÂ Y1) [i] based on
    1. linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
      - the Hill cap [i]
    2. nonexistence of linear OA(3⁵, 21, F₃, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,3)), because
      - 20 is the largest size of a cap in PG(4,Â 3) [i]

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

None.