MinT - Information on Result #2227116

Information on Result #2227116

Linear OA(3¹⁷, 25, F₃, 11) (dual of [25, 8, 12]-code), using 3 times truncation based on linear OA(3²⁰, 28, F₃, 14) (dual of [28, 8, 15]-code), using

contraction [i] based on linear OA(3⁴⁸, 56, F₃, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56Â | 3⁶âˆ’1, defining interval IÂ =Â {0,1,…,28}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [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(3⁹⁸, 105, F₃, 62) (dual of [105, 7, 63]-code)	[i]		Juxtaposition
2	Linear OA(3¹⁷⁹, 186, F₃, 113) (dual of [186, 7, 114]-code)	[i]
3	Linear OA(3¹⁸⁵, 192, F₃, 119) (dual of [192, 7, 120]-code)	[i]
4	Linear OA(3¹⁴², 149, F₃, 89) (dual of [149, 7, 90]-code)	[i]
5	Linear OA(3¹²⁹, 136, F₃, 83) (dual of [136, 7, 84]-code)	[i]
6	Linear OA(3⁹³, 106, F₃, 53) (dual of [106, 13, 54]-code)	[i]		ConstructionÂ XX with Cyclic Codes
7	Linear OOA(3¹⁷, 12, F₃, 2, 11) (dual of [(12, 2), 7, 12]-NRT-code)	[i]		OOA Folding
8	Linear OOA(3¹⁷, 8, F₃, 3, 11) (dual of [(8, 3), 7, 12]-NRT-code)	[i]		OOA Folding