MinT - Information on Result #2193607

Information on Result #2193607

Linear OA(3¹⁵⁷, 184, F₃, 73) (dual of [184, 27, 74]-code), using strength reduction based on linear OA(3¹⁵⁷, 184, F₃, 74) (dual of [184, 27, 75]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁴, 23, F₂₇, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
    - Reedâ€“Solomon code RS(13,27) [i]
2. linear OA(3⁵, 8, F₃, 4) (dual of [8, 3, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
    - Golay code G(3) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3¹⁵⁶, 183, F₃, 72) (dual of [183, 27, 73]-code)	[i]		Truncation
2	Linear OOA(3¹⁵⁷, 92, F₃, 2, 73) (dual of [(92, 2), 27, 74]-NRT-code)	[i]		OOA Folding