MinT - Information on Result #2231291

Information on Result #2231291

Linear OA(3¹⁶⁷, 188, F₃, 88) (dual of [188, 21, 89]-code), using 1 times truncation based on linear OA(3¹⁶⁸, 189, F₃, 89) (dual of [189, 21, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁴, 21, F₂₇, 14) (dual of [21, 7, 15]-code or 21-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(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
    - projective code from ovoid in PG(3,Â 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(3¹⁶⁹, 190, F₃, 88) (dual of [190, 21, 89]-code)	[i]		Code Embedding in Larger Space
2	Linear OOA(3¹⁶⁷, 94, F₃, 2, 88) (dual of [(94, 2), 21, 89]-NRT-code)	[i]		OOA Folding