MinT - Information on Result #2627213

Information on Result #2627213

Linear OOA(3²¹⁹, 76, F₃, 3, 168) (dual of [(76, 3), 9, 169]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 76, F₃, 3, 169) (dual of [(76, 3), 9, 170]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁶, 19, F₂₇, 16) (dual of [19, 3, 17]-code or 19-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 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(3²¹⁷, 75, F₃, 3, 166) (dual of [(75, 3), 8, 167]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²¹⁶, 75, F₃, 3, 165) (dual of [(75, 3), 9, 166]-NRT-code)	[i]
3	Linear OOA(3²¹⁴, 74, F₃, 3, 163) (dual of [(74, 3), 8, 164]-NRT-code)	[i]
4	Linear OOA(3²¹³, 74, F₃, 3, 162) (dual of [(74, 3), 9, 163]-NRT-code)	[i]
5	Linear OOA(3²¹¹, 73, F₃, 3, 160) (dual of [(73, 3), 8, 161]-NRT-code)	[i]
6	Linear OOA(3²¹⁰, 73, F₃, 3, 159) (dual of [(73, 3), 9, 160]-NRT-code)	[i]
7	Linear OOA(3²⁰⁴, 71, F₃, 3, 153) (dual of [(71, 3), 9, 154]-NRT-code)	[i]
8	Linear OOA(3²⁰¹, 70, F₃, 3, 150) (dual of [(70, 3), 9, 151]-NRT-code)	[i]