MinT - Information on Result #2227540

Information on Result #2227540

Linear OA(3⁶², 78, F₃, 37) (dual of [78, 16, 38]-code), using 4 times truncation based on linear OA(3⁶⁶, 82, F₃, 41) (dual of [82, 16, 42]-code), using

contraction [i] based on linear OA(3¹⁴⁸, 164, F₃, 83) (dual of [164, 16, 84]-code), using the BCH-code C(I) with length 164Â | 3⁸âˆ’1, defining interval IÂ =Â {0,1,…,82}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 84 [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(3¹³⁷, 150, F₃, 75) (dual of [150, 13, 76]-code)	[i]		Repeating Each Code Word
2	Linear OA(3¹³⁶, 148, F₃, 75) (dual of [148, 12, 76]-code)	[i]		Repeating Each Code Word
3	Linear OA(3⁷¹, 88, F₃, 37) (dual of [88, 17, 38]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound
4	Linear OA(3⁷⁴, 92, F₃, 37) (dual of [92, 18, 38]-code)	[i]
5	Linear OA(3⁷⁵, 94, F₃, 37) (dual of [94, 19, 38]-code)	[i]
6	Linear OOA(3⁶², 39, F₃, 2, 37) (dual of [(39, 2), 16, 38]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3⁶², 26, F₃, 3, 37) (dual of [(26, 3), 16, 38]-NRT-code)	[i]
8	Linear OOA(3⁶², 19, F₃, 4, 37) (dual of [(19, 4), 14, 38]-NRT-code)	[i]