MinT - Information on Result #1049549

Information on Result #1049549

Linear OOA(3²⁴⁸, 84, F₃, 3, 206) (dual of [(84, 3), 4, 207]-NRT-code), using juxtaposition based on

linear OOA(3⁸, 4, F₃, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;4,3) [i]
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		This result only	Method
1	Linear OOA(3²⁴⁸, 84, F₃, 3, 205) (dual of [(84, 3), 4, 206]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁸, 84, F₃, 3, 204) (dual of [(84, 3), 4, 205]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3²⁴⁷, 83, F₃, 3, 205) (dual of [(83, 3), 2, 206]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(3²⁴⁶, 83, F₃, 3, 204) (dual of [(83, 3), 3, 205]-NRT-code)	[i]
5	Linear OOA(3²⁴³, 82, F₃, 3, 201) (dual of [(82, 3), 3, 202]-NRT-code)	[i]
6	Linear OOA(3²³⁹, 81, F₃, 3, 197) (dual of [(81, 3), 4, 198]-NRT-code)	[i]
7	Linear OOA(3²³⁵, 79, F₃, 3, 193) (dual of [(79, 3), 2, 194]-NRT-code)	[i]
8	Linear OOA(3²³³, 79, F₃, 3, 191) (dual of [(79, 3), 4, 192]-NRT-code)	[i]
9	Linear OOA(3²²⁹, 77, F₃, 3, 187) (dual of [(77, 3), 2, 188]-NRT-code)	[i]
10	Linear OOA(3²²², 75, F₃, 3, 180) (dual of [(75, 3), 3, 181]-NRT-code)	[i]
11	Linear OOA(3²¹⁷, 73, F₃, 3, 175) (dual of [(73, 3), 2, 176]-NRT-code)	[i]