MinT - Information on Result #2231379

Information on Result #2231379

Linear OA(3¹⁶⁵, 186, F₃, 85) (dual of [186, 21, 86]-code), using 3 times truncation based on linear OA(3¹⁶⁸, 189, F₃, 88) (dual of [189, 21, 89]-code), using

strength reduction [i] 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 OOA(3¹⁶⁵, 93, F₃, 2, 85) (dual of [(93, 2), 21, 86]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁶⁵, 62, F₃, 3, 85) (dual of [(62, 3), 21, 86]-NRT-code)	[i]		OOA Folding