MinT - Information on Result #2230549

Information on Result #2230549

Linear OA(3¹⁴⁰, 161, F₃, 70) (dual of [161, 21, 71]-code), using 1 times truncation based on linear OA(3¹⁴¹, 162, F₃, 71) (dual of [162, 21, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹¹, 18, F₂₇, 11) (dual of [18, 7, 12]-code or 18-arc in PG(10,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹¹, 27, F₂₇, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
    - Reedâ€“Solomon code RS(16,27) [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(3¹⁴², 163, F₃, 70) (dual of [163, 21, 71]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(3¹⁴⁰, 80, F₃, 2, 70) (dual of [(80, 2), 20, 71]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3¹⁴⁰, 32, F₃, 5, 70) (dual of [(32, 5), 20, 71]-NRT-code)	[i]	OOA Folding