MinT - Information on Result #2191039

Information on Result #2191039

Linear OA(3⁹¹, 96, F₃, 61) (dual of [96, 5, 62]-code), using strength reduction based on linear OA(3⁹¹, 96, F₃, 62) (dual of [96, 5, 63]-code), using

(u,Â uâˆ’v,Â u+v+w)-construction [i] based on
1. linear OA(3²⁸, 32, F₃, 20) (dual of [32, 4, 21]-code), using
  - a code of Belov type defined by PG(3,3) ∖ 2×PG(1,3) [i]
2. linear OA(3³¹, 32, F₃, 31) (dual of [32, 1, 32]-code or 32-arc in PG(30,3)), using
  - dual of repetition code with length 32 [i]
3. linear OA(3³², 32, F₃, 32) (dual of [32, 0, 33]-code or 32-arc in PG(31,3)), using
  - complete OA / dual of code with only one code word [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(3⁹¹, 48, F₃, 2, 61) (dual of [(48, 2), 5, 62]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁹¹, 32, F₃, 3, 61) (dual of [(32, 3), 5, 62]-NRT-code)	[i]		OOA Folding