MinT - Information on Result #2199924

Information on Result #2199924

Linear OA(4³⁸, 65, F₄, 21) (dual of [65, 27, 22]-code), using strength reduction based on linear OA(4³⁸, 65, F₄, 22) (dual of [65, 27, 23]-code), using

the BCH-code C(I) with length 65Â | 4⁶âˆ’1, defining interval IÂ =Â {1,4,7,…,64}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [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		Method
1	Linear OA(4³⁵, 62, F₄, 18) (dual of [62, 27, 19]-code)	[i]	Truncation
2	Linear OA(4³⁴, 61, F₄, 17) (dual of [61, 27, 18]-code)	[i]
3	Linear OA(4³³, 60, F₄, 16) (dual of [60, 27, 17]-code)	[i]
4	Linear OA(4³², 59, F₄, 15) (dual of [59, 27, 16]-code)	[i]