MinT - Information on Result #2230789

Information on Result #2230789

Linear OA(3¹⁷³, 188, F₃, 100) (dual of [188, 15, 101]-code), using 1 times truncation based on linear OA(3¹⁷⁴, 189, F₃, 101) (dual of [189, 15, 102]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁶, 21, F₂₇, 16) (dual of [21, 5, 17]-code or 21-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(3¹⁷⁵, 190, F₃, 100) (dual of [190, 15, 101]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(3¹⁷³, 94, F₃, 2, 100) (dual of [(94, 2), 15, 101]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3¹⁷³, 62, F₃, 3, 100) (dual of [(62, 3), 13, 101]-NRT-code)	[i]	OOA Folding