MinT - Information on Result #632678

Information on Result #632678

Linear OA(3¹⁵², 176, F₃, 74) (dual of [176, 24, 75]-code), using concatenation of two codes based on

linear OA(27¹⁴, 22, F₂₇, 14) (dual of [22, 8, 15]-code or 22-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 OA(3⁵, 8, F₃, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
  - Golay code G(3) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OA(3¹⁵², 176, F₃, 73) (dual of [176, 24, 74]-code)	[i]	Strength Reduction
2	Linear OA(3¹⁵², 176, F₃, 72) (dual of [176, 24, 73]-code)	[i]	Strength Reduction
3	Linear OA(3¹⁵¹, 175, F₃, 73) (dual of [175, 24, 74]-code)	[i]	Truncation
4	Linear OA(3¹⁵⁰, 174, F₃, 72) (dual of [174, 24, 73]-code)	[i]
5	Linear OA(3¹⁴⁹, 173, F₃, 71) (dual of [173, 24, 72]-code)	[i]
6	Linear OA(3¹⁴⁸, 172, F₃, 70) (dual of [172, 24, 71]-code)	[i]
7	Linear OA(3¹⁴⁵, 169, F₃, 67) (dual of [169, 24, 68]-code)	[i]
8	Linear OA(3¹⁵³, 178, F₃, 74) (dual of [178, 25, 75]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
9	Linear OOA(3¹⁵², 88, F₃, 2, 74) (dual of [(88, 2), 24, 75]-NRT-code)	[i]	OOA Folding
10	Linear OOA(3¹⁵², 58, F₃, 3, 74) (dual of [(58, 3), 22, 75]-NRT-code)	[i]	OOA Folding