MinT - Information on Result #2628707

Information on Result #2628707

Linear OOA(3²⁴³, 84, F₃, 3, 186) (dual of [(84, 3), 9, 187]-NRT-code), using strength reduction based on linear OOA(3²⁴³, 84, F₃, 3, 189) (dual of [(84, 3), 9, 190]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁸, 21, F₂₇, 18) (dual of [21, 3, 19]-code or 21-arc in PG(17,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁸, 27, F₂₇, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
    - Reedâ€“Solomon code RS(9,27) [i]
2. linear OOA(3⁹, 4, F₃, 3, 9) (dual of [(4, 3), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,3) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3²⁴⁴, 84, F₃, 3, 186) (dual of [(84, 3), 8, 187]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²⁴², 83, F₃, 3, 185) (dual of [(83, 3), 7, 186]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(3²⁴¹, 83, F₃, 3, 184) (dual of [(83, 3), 8, 185]-NRT-code)	[i]
4	Linear OOA(3²⁴⁰, 83, F₃, 3, 183) (dual of [(83, 3), 9, 184]-NRT-code)	[i]
5	Linear OOA(3²³⁹, 82, F₃, 3, 182) (dual of [(82, 3), 7, 183]-NRT-code)	[i]
6	Linear OOA(3²³⁸, 82, F₃, 3, 181) (dual of [(82, 3), 8, 182]-NRT-code)	[i]
7	Linear OOA(3²³⁷, 82, F₃, 3, 180) (dual of [(82, 3), 9, 181]-NRT-code)	[i]
8	Linear OOA(3²³⁵, 81, F₃, 3, 178) (dual of [(81, 3), 8, 179]-NRT-code)	[i]
9	Linear OOA(3²³⁴, 81, F₃, 3, 177) (dual of [(81, 3), 9, 178]-NRT-code)	[i]
10	Linear OOA(3²²⁸, 79, F₃, 3, 171) (dual of [(79, 3), 9, 172]-NRT-code)	[i]
11	Linear OOA(3²²⁵, 78, F₃, 3, 168) (dual of [(78, 3), 9, 169]-NRT-code)	[i]
12	Linear OOA(3²²², 77, F₃, 3, 165) (dual of [(77, 3), 9, 166]-NRT-code)	[i]