MinT - Information on Result #2230270

Information on Result #2230270

Linear OA(3¹⁶⁷, 179, F₃, 100) (dual of [179, 12, 101]-code), using 1 times truncation based on linear OA(3¹⁶⁸, 180, F₃, 101) (dual of [180, 12, 102]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁶, 20, F₂₇, 16) (dual of [20, 4, 17]-code or 20-arc in PG(15,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁶, 27, F₂₇, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
    - Reedâ€“Solomon code RS(11,27) [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(3¹⁶⁹, 181, F₃, 100) (dual of [181, 12, 101]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(3¹⁶⁷, 89, F₃, 2, 100) (dual of [(89, 2), 11, 101]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3¹⁶⁷, 59, F₃, 3, 100) (dual of [(59, 3), 10, 101]-NRT-code)	[i]	OOA Folding