MinT - Information on Result #2628151

Information on Result #2628151

Linear OOA(3²³⁴, 80, F₃, 3, 188) (dual of [(80, 3), 6, 189]-NRT-code), using strength reduction based on linear OOA(3²³⁴, 80, F₃, 3, 189) (dual of [(80, 3), 6, 190]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁸, 20, F₂₇, 18) (dual of [20, 2, 19]-code or 20-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(3²³², 79, F₃, 3, 186) (dual of [(79, 3), 5, 187]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²³¹, 79, F₃, 3, 185) (dual of [(79, 3), 6, 186]-NRT-code)	[i]
3	Linear OOA(3²²⁹, 78, F₃, 3, 183) (dual of [(78, 3), 5, 184]-NRT-code)	[i]
4	Linear OOA(3²²⁸, 78, F₃, 3, 182) (dual of [(78, 3), 6, 183]-NRT-code)	[i]
5	Linear OOA(3²²⁶, 77, F₃, 3, 180) (dual of [(77, 3), 5, 181]-NRT-code)	[i]
6	Linear OOA(3²²⁵, 77, F₃, 3, 179) (dual of [(77, 3), 6, 180]-NRT-code)	[i]
7	Linear OOA(3²²³, 76, F₃, 3, 177) (dual of [(76, 3), 5, 178]-NRT-code)	[i]
8	Linear OOA(3²²⁰, 75, F₃, 3, 174) (dual of [(75, 3), 5, 175]-NRT-code)	[i]
9	Linear OOA(3²¹⁹, 75, F₃, 3, 173) (dual of [(75, 3), 6, 174]-NRT-code)	[i]
10	Linear OOA(3²¹⁶, 74, F₃, 3, 170) (dual of [(74, 3), 6, 171]-NRT-code)	[i]
11	Linear OOA(3²¹³, 73, F₃, 3, 167) (dual of [(73, 3), 6, 168]-NRT-code)	[i]
12	Linear OOA(3²⁰⁸, 71, F₃, 3, 162) (dual of [(71, 3), 5, 163]-NRT-code)	[i]
13	Linear OOA(3²⁰⁷, 71, F₃, 3, 161) (dual of [(71, 3), 6, 162]-NRT-code)	[i]