MinT - Information on Result #2231765

Information on Result #2231765

Linear OA(3¹⁷⁰, 194, F₃, 85) (dual of [194, 24, 86]-code), using 4 times truncation based on linear OA(3¹⁷⁴, 198, F₃, 89) (dual of [198, 24, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁴, 22, F₂₇, 14) (dual of [22, 8, 15]-code or 22-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		Method
1	Linear OA(3¹⁷², 197, F₃, 85) (dual of [197, 25, 86]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OA(3¹⁷⁴, 200, F₃, 85) (dual of [200, 26, 86]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
3	Linear OOA(3¹⁷⁰, 97, F₃, 2, 85) (dual of [(97, 2), 24, 86]-NRT-code)	[i]	OOA Folding
4	Linear OOA(3¹⁷⁰, 64, F₃, 3, 85) (dual of [(64, 3), 22, 86]-NRT-code)	[i]	OOA Folding