MinT - Information on Result #632748

Information on Result #632748

Linear OA(3¹⁴¹, 162, F₃, 71) (dual of [162, 21, 72]-code), using concatenation of two codes based on

linear OA(27¹¹, 18, F₂₇, 11) (dual of [18, 7, 12]-code or 18-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(27¹¹, 27, F₂₇, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
  - Reedâ€“Solomon code RS(16,27) [i]
linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
  - projective code from ovoid in PG(3,Â 3) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OA(3¹⁴¹, 162, F₃, 70) (dual of [162, 21, 71]-code)	[i]	Strength Reduction
2	Linear OA(3¹⁴¹, 162, F₃, 69) (dual of [162, 21, 70]-code)	[i]
3	Linear OA(3¹⁴¹, 162, F₃, 68) (dual of [162, 21, 69]-code)	[i]
4	Linear OA(3¹⁴¹, 162, F₃, 67) (dual of [162, 21, 68]-code)	[i]
5	Linear OA(3¹⁴², 163, F₃, 71) (dual of [163, 21, 72]-code)	[i]	Code Embedding in Larger Space
6	Linear OA(3¹⁴³, 164, F₃, 71) (dual of [164, 21, 72]-code)	[i]	Code Embedding in Larger Space
7	Linear OA(3¹⁴⁰, 161, F₃, 70) (dual of [161, 21, 71]-code)	[i]	Truncation
8	Linear OA(3¹³⁸, 159, F₃, 68) (dual of [159, 21, 69]-code)	[i]
9	Linear OA(3¹³⁷, 158, F₃, 67) (dual of [158, 21, 68]-code)	[i]
10	Linear OA(3¹³⁶, 157, F₃, 66) (dual of [157, 21, 67]-code)	[i]
11	Linear OA(3¹³⁵, 156, F₃, 65) (dual of [156, 21, 66]-code)	[i]
12	Linear OA(3¹³⁴, 155, F₃, 64) (dual of [155, 21, 65]-code)	[i]
13	Linear OA(3¹³⁰, 151, F₃, 60) (dual of [151, 21, 61]-code)	[i]
14	Linear OA(3¹⁴⁵, 168, F₃, 71) (dual of [168, 23, 72]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
15	Linear OOA(3¹⁴¹, 81, F₃, 2, 71) (dual of [(81, 2), 21, 72]-NRT-code)	[i]	OOA Folding
16	Linear OOA(3¹⁴¹, 54, F₃, 3, 71) (dual of [(54, 3), 21, 72]-NRT-code)	[i]	OOA Folding