MinT - Information on Result #2231287

Information on Result #2231287

Linear OA(3¹⁷⁸, 196, F₃, 99) (dual of [196, 18, 100]-code), using 2 times truncation based on linear OA(3¹⁸⁰, 198, F₃, 101) (dual of [198, 18, 102]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁶, 22, F₂₇, 16) (dual of [22, 6, 17]-code or 22-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 OOA(3¹⁷⁸, 98, F₃, 2, 99) (dual of [(98, 2), 18, 100]-NRT-code)	[i]	OOA Folding
2	Linear OOA(3¹⁷⁸, 65, F₃, 3, 99) (dual of [(65, 3), 17, 100]-NRT-code)	[i]
3	Linear OOA(3¹⁷⁸, 39, F₃, 5, 99) (dual of [(39, 5), 17, 100]-NRT-code)	[i]