MinT - Information on Result #2437265

Information on Result #2437265

Linear OOA(3²³⁶, 120, F₃, 2, 186) (dual of [(120, 2), 4, 187]-NRT-code), using strength reduction based on linear OOA(3²³⁶, 120, F₃, 2, 188) (dual of [(120, 2), 4, 189]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(9²⁸, 30, F₉, 26) (dual of [30, 2, 27]-code), using
  - repeating each code word 3 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(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;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(3²³⁴, 119, F₃, 2, 184) (dual of [(119, 2), 4, 185]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²³², 118, F₃, 2, 182) (dual of [(118, 2), 4, 183]-NRT-code)	[i]
3	Linear OOA(3²³⁰, 117, F₃, 2, 180) (dual of [(117, 2), 4, 181]-NRT-code)	[i]
4	Linear OOA(3²²⁶, 115, F₃, 2, 176) (dual of [(115, 2), 4, 177]-NRT-code)	[i]
5	Linear OOA(3²²⁴, 114, F₃, 2, 174) (dual of [(114, 2), 4, 175]-NRT-code)	[i]
6	Linear OOA(3²²², 113, F₃, 2, 172) (dual of [(113, 2), 4, 173]-NRT-code)	[i]
7	Linear OOA(3²¹⁸, 111, F₃, 2, 168) (dual of [(111, 2), 4, 169]-NRT-code)	[i]
8	Linear OOA(3²¹⁶, 110, F₃, 2, 166) (dual of [(110, 2), 4, 167]-NRT-code)	[i]
9	Linear OOA(3²¹⁴, 109, F₃, 2, 164) (dual of [(109, 2), 4, 165]-NRT-code)	[i]
10	Linear OOA(3²³⁶, 60, F₃, 4, 186) (dual of [(60, 4), 4, 187]-NRT-code)	[i]	OOA Folding