MinT - Information on Result #2233833

Information on Result #2233833

Linear OA(3¹⁸¹, 289, F₃, 62) (dual of [289, 108, 63]-code), using 1 times truncation based on linear OA(3¹⁸², 290, F₃, 63) (dual of [290, 108, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(81³¹, 58, F₈₁, 31) (dual of [58, 27, 32]-code or 58-arc in PG(30,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³¹, 81, F₈₁, 31) (dual of [81, 50, 32]-code or 81-arc in PG(30,81)), using
    - Reedâ€“Solomon code RS(50,81) [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(3¹⁸¹, 144, F₃, 2, 62) (dual of [(144, 2), 107, 63]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁸¹, 96, F₃, 3, 62) (dual of [(96, 3), 107, 63]-NRT-code)	[i]		OOA Folding