MinT - Information on Result #2628243

Information on Result #2628243

Linear OOA(3²³⁶, 80, F₃, 3, 195) (dual of [(80, 3), 4, 196]-NRT-code), using strength reduction based on linear OOA(3²³⁶, 80, F₃, 3, 197) (dual of [(80, 3), 4, 198]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(9¹⁸, 20, F₉, 17) (dual of [20, 2, 18]-code), using
  - repeating each code word 2 times [i] based on linear OA(9⁸, 10, F₉, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
    - extended Reedâ€“Solomon code RS_e(2,9) [i]
    - Simplex code S(2,9) [i]
2. linear OOA(3¹⁰, 4, F₃, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;2,3) [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(3²³⁵, 79, F₃, 3, 194) (dual of [(79, 3), 2, 195]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²³³, 79, F₃, 3, 192) (dual of [(79, 3), 4, 193]-NRT-code)	[i]
3	Linear OOA(3²³⁰, 78, F₃, 3, 189) (dual of [(78, 3), 4, 190]-NRT-code)	[i]
4	Linear OOA(3²²⁹, 77, F₃, 3, 188) (dual of [(77, 3), 2, 189]-NRT-code)	[i]
5	Linear OOA(3²²², 75, F₃, 3, 181) (dual of [(75, 3), 3, 182]-NRT-code)	[i]
6	Linear OOA(3²¹⁷, 73, F₃, 3, 176) (dual of [(73, 3), 2, 177]-NRT-code)	[i]
7	Linear OOA(3²¹¹, 71, F₃, 3, 170) (dual of [(71, 3), 2, 171]-NRT-code)	[i]