MinT - Information on Result #2160903

Information on Result #2160903

There is no linear OA(3¹⁹⁴, 204, F₃, 130) (dual of [204, 10, 131]-code), because 1 times truncation would yield linear OA(3¹⁹³, 203, F₃, 129) (dual of [203, 10, 130]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(3¹⁹², 199, F₃, 129) (dual of [199, 7, 130]-code), but
  - residual code [i] would yield linear OA(3⁶³, 69, F₃, 43) (dual of [69, 6, 44]-code), but
    - â€œMaâ€ bound on codes from Brouwerâ€™s database [i]
2. OA(3¹⁰, 203, S₃, 4), but
  - discarding factors would yield OA(3¹⁰, 172, S₃, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 59169 > 3¹⁰ [i]

Mode: Bound (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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.