MinT - Information on Result #632687

Information on Result #632687

Linear OA(3¹⁸⁸, 224, F₃, 84) (dual of [224, 36, 85]-code), using concatenation of two codes based on

linear OA(27¹⁶, 28, F₂₇, 16) (dual of [28, 12, 17]-code or 28-arc in PG(15,27)), using
- extended Reedâ€“Solomon code RS_e(12,27) [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.

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3¹⁸⁸, 224, F₃, 83) (dual of [224, 36, 84]-code)	[i]		Strength Reduction
2	Linear OA(3¹⁸⁸, 224, F₃, 82) (dual of [224, 36, 83]-code)	[i]		Strength Reduction
3	Linear OA(3¹⁸⁷, 223, F₃, 83) (dual of [223, 36, 84]-code)	[i]		Truncation
4	Linear OA(3¹⁸⁶, 222, F₃, 82) (dual of [222, 36, 83]-code)	[i]
5	Linear OA(3¹⁸⁵, 221, F₃, 81) (dual of [221, 36, 82]-code)	[i]
6	Linear OA(3¹⁸², 218, F₃, 78) (dual of [218, 36, 79]-code)	[i]
7	Linear OOA(3¹⁸⁸, 112, F₃, 2, 84) (dual of [(112, 2), 36, 85]-NRT-code)	[i]		OOA Folding
8	Linear OOA(3¹⁸⁸, 74, F₃, 3, 84) (dual of [(74, 3), 34, 85]-NRT-code)	[i]		OOA Folding