MinT - Information on Result #2234785

Information on Result #2234785

Linear OA(3²³², 364, F₃, 80) (dual of [364, 132, 81]-code), using 1 times truncation based on linear OA(3²³³, 365, F₃, 81) (dual of [365, 132, 82]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴⁰, 73, F₈₁, 40) (dual of [73, 33, 41]-code or 73-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(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(3²³², 182, F₃, 2, 80) (dual of [(182, 2), 132, 81]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³², 121, F₃, 3, 80) (dual of [(121, 3), 131, 81]-NRT-code)	[i]		OOA Folding