MinT - Information on Result #1029136

Information on Result #1029136

Linear OOA(3¹⁹⁵, 68, F₃, 3, 149) (dual of [(68, 3), 9, 150]-NRT-code), using concatenation of two NRT-codes based on

linear OA(27¹⁴, 17, F₂₇, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
  - Reedâ€“Solomon code RS(13,27) [i]
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		This result only	Method
1	Linear OOA(3¹⁹⁵, 68, F₃, 3, 148) (dual of [(68, 3), 9, 149]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁹⁵, 68, F₃, 3, 147) (dual of [(68, 3), 9, 148]-NRT-code)	[i]
3	Linear OOA(3¹⁹⁵, 68, F₃, 3, 146) (dual of [(68, 3), 9, 147]-NRT-code)	[i]
4	Linear OOA(3¹⁹⁶, 68, F₃, 3, 149) (dual of [(68, 3), 8, 150]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3¹⁹³, 67, F₃, 3, 147) (dual of [(67, 3), 8, 148]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(3¹⁹², 67, F₃, 3, 146) (dual of [(67, 3), 9, 147]-NRT-code)	[i]
7	Linear OOA(3¹⁹⁰, 66, F₃, 3, 144) (dual of [(66, 3), 8, 145]-NRT-code)	[i]
8	Linear OOA(3¹⁸⁹, 66, F₃, 3, 143) (dual of [(66, 3), 9, 144]-NRT-code)	[i]
9	Linear OOA(3¹⁸⁷, 65, F₃, 3, 141) (dual of [(65, 3), 8, 142]-NRT-code)	[i]
10	Linear OOA(3¹⁸⁶, 65, F₃, 3, 140) (dual of [(65, 3), 9, 141]-NRT-code)	[i]
11	Linear OOA(3¹⁸⁰, 63, F₃, 3, 134) (dual of [(63, 3), 9, 135]-NRT-code)	[i]
12	Linear OOA(3¹⁷⁷, 62, F₃, 3, 131) (dual of [(62, 3), 9, 132]-NRT-code)	[i]