MinT - Information on Result #632823

Information on Result #632823

Linear OA(3²⁴⁸, 260, F₃, 152) (dual of [260, 12, 153]-code), using concatenation of two codes based on

linear OA(27¹⁶, 20, F₂₇, 16) (dual of [20, 4, 17]-code or 20-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]
linear OA(3¹⁰, 13, F₃, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13Â | 3³âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−1,0,…,6}|+1Â =Â 9 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OA(3²⁴⁸, 260, F₃, 151) (dual of [260, 12, 152]-code)	[i]	Strength Reduction
2	Linear OA(3²⁴⁸, 260, F₃, 150) (dual of [260, 12, 151]-code)	[i]
3	Linear OA(3²⁴⁸, 260, F₃, 149) (dual of [260, 12, 150]-code)	[i]
4	Linear OA(3²⁴⁸, 260, F₃, 148) (dual of [260, 12, 149]-code)	[i]
5	Linear OA(3²⁴⁹, 261, F₃, 152) (dual of [261, 12, 153]-code)	[i]	Code Embedding in Larger Space
6	Linear OA(3²⁵⁰, 262, F₃, 152) (dual of [262, 12, 153]-code)	[i]	Code Embedding in Larger Space
7	Linear OA(3²⁴⁷, 259, F₃, 151) (dual of [259, 12, 152]-code)	[i]	Truncation
8	Linear OA(3²⁴⁶, 258, F₃, 150) (dual of [258, 12, 151]-code)	[i]
9	Linear OA(3²⁴⁵, 257, F₃, 149) (dual of [257, 12, 150]-code)	[i]
10	Linear OA(3²⁴⁴, 256, F₃, 148) (dual of [256, 12, 149]-code)	[i]
11	Linear OA(3²⁴³, 255, F₃, 147) (dual of [255, 12, 148]-code)	[i]
12	Linear OA(3²⁴², 254, F₃, 146) (dual of [254, 12, 147]-code)	[i]
13	Linear OA(3²⁴¹, 253, F₃, 145) (dual of [253, 12, 146]-code)	[i]
14	Linear OOA(3²⁴⁸, 130, F₃, 2, 152) (dual of [(130, 2), 12, 153]-NRT-code)	[i]	OOA Folding
15	Linear OOA(3²⁴⁸, 52, F₃, 5, 152) (dual of [(52, 5), 12, 153]-NRT-code)	[i]	OOA Folding