MinT - Information on Result #2253957

Information on Result #2253957

Linear OA(9¹⁴¹, 185, F₉, 80) (dual of [185, 44, 81]-code), using 1 times truncation based on linear OA(9¹⁴², 186, F₉, 81) (dual of [186, 44, 82]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴⁰, 62, F₈₁, 40) (dual of [62, 22, 41]-code or 62-arc in PG(39,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴⁰, 81, F₈₁, 40) (dual of [81, 41, 41]-code or 81-arc in PG(39,81)), using
    - Reedâ€“Solomon code RS(41,81) [i]
2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9¹⁴¹, 92, F₉, 2, 80) (dual of [(92, 2), 43, 81]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁴¹, 61, F₉, 3, 80) (dual of [(61, 3), 42, 81]-NRT-code)	[i]		OOA Folding