MinT - Information on Result #2231543

Information on Result #2231543

Linear OA(3¹⁶³, 187, F₃, 81) (dual of [187, 24, 82]-code), using 2 times truncation based on linear OA(3¹⁶⁵, 189, F₃, 83) (dual of [189, 24, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹³, 21, F₂₇, 13) (dual of [21, 8, 14]-code or 21-arc in PG(12,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹³, 27, F₂₇, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
    - Reedâ€“Solomon code RS(14,27) [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(3¹⁶⁶, 192, F₃, 81) (dual of [192, 26, 82]-code)	[i]	VarÅ¡amovâ€“Edel Lengthening
2	Linear OA(3¹⁶⁷, 194, F₃, 81) (dual of [194, 27, 82]-code)	[i]
3	Linear OA(3¹⁶⁸, 196, F₃, 81) (dual of [196, 28, 82]-code)	[i]
4	Linear OA(3¹⁶⁹, 198, F₃, 81) (dual of [198, 29, 82]-code)	[i]
5	Linear OA(3¹⁷⁰, 200, F₃, 81) (dual of [200, 30, 82]-code)	[i]
6	Linear OA(3¹⁶⁵, 190, F₃, 81) (dual of [190, 25, 82]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
7	Linear OOA(3¹⁶³, 93, F₃, 2, 81) (dual of [(93, 2), 23, 82]-NRT-code)	[i]	OOA Folding
8	Linear OOA(3¹⁶³, 62, F₃, 3, 81) (dual of [(62, 3), 23, 82]-NRT-code)	[i]	OOA Folding