MinT - Information on Result #2234279

Information on Result #2234279

Linear OA(3¹⁸⁵, 389, F₃, 54) (dual of [389, 204, 55]-code), using 1 times truncation based on linear OA(3¹⁸⁶, 390, F₃, 55) (dual of [390, 204, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁷, 78, F₈₁, 27) (dual of [78, 51, 28]-code or 78-arc in PG(26,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁷, 81, F₈₁, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
    - Reedâ€“Solomon code RS(54,81) [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(3¹⁸⁵, 194, F₃, 2, 54) (dual of [(194, 2), 203, 55]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁸⁵, 129, F₃, 3, 54) (dual of [(129, 3), 202, 55]-NRT-code)	[i]		OOA Folding