MinT - Information on Result #2234786

Information on Result #2234786

Linear OA(3²³⁰, 374, F₃, 78) (dual of [374, 144, 79]-code), using 1 times truncation based on linear OA(3²³¹, 375, F₃, 79) (dual of [375, 144, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁹, 75, F₈₁, 39) (dual of [75, 36, 40]-code or 75-arc in PG(38,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁹, 81, F₈₁, 39) (dual of [81, 42, 40]-code or 81-arc in PG(38,81)), using
    - Reedâ€“Solomon code RS(42,81) [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(3²³⁰, 187, F₃, 2, 78) (dual of [(187, 2), 144, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³⁰, 124, F₃, 3, 78) (dual of [(124, 3), 142, 79]-NRT-code)	[i]		OOA Folding