MinT - Information on Result #2234931

Information on Result #2234931

Linear OA(3²⁴⁰, 404, F₃, 80) (dual of [404, 164, 81]-code), using 1 times truncation based on linear OA(3²⁴¹, 405, F₃, 81) (dual of [405, 164, 82]-code), using

concatenation of two codes [i] based on
1. 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(3¹, 5, F₃, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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(3²⁴⁰, 202, F₃, 2, 80) (dual of [(202, 2), 164, 81]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴⁰, 134, F₃, 3, 80) (dual of [(134, 3), 162, 81]-NRT-code)	[i]		OOA Folding