MinT - Information on Result #2231955

Information on Result #2231955

Linear OA(3²¹⁸, 233, F₃, 130) (dual of [233, 15, 131]-code), using 1 times truncation based on linear OA(3²¹⁹, 234, F₃, 131) (dual of [234, 15, 132]-code), using

concatenation of two codes [i] based on
1. linear OA(27²¹, 26, F₂₇, 21) (dual of [26, 5, 22]-code or 26-arc in PG(20,27)), using
  - discarding factors / shortening the dual code based on linear OA(27²¹, 27, F₂₇, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
    - Reedâ€“Solomon code RS(6,27) [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(3²²⁰, 235, F₃, 130) (dual of [235, 15, 131]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(3²¹⁸, 116, F₃, 2, 130) (dual of [(116, 2), 14, 131]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3²¹⁸, 77, F₃, 3, 130) (dual of [(77, 3), 13, 131]-NRT-code)	[i]	OOA Folding