MinT - Information on Result #2241765

Information on Result #2241765

Linear OA(4¹⁷², 253, F₄, 82) (dual of [253, 81, 83]-code), using 4 times truncation based on linear OA(4¹⁷⁶, 257, F₄, 86) (dual of [257, 81, 87]-code), using

the BCH-code C(I) with length 257Â | 4⁸âˆ’1, defining interval IÂ =Â {1,4,7,…,256}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 87 [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(4¹⁸⁰, 267, F₄, 82) (dual of [267, 87, 83]-code)	[i]		VarÅ¡amovâ€“Edel Lengthening
2	Linear OA(4¹⁷⁶, 258, F₄, 82) (dual of [258, 82, 83]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound
3	Linear OA(4¹⁷⁷, 260, F₄, 82) (dual of [260, 83, 83]-code)	[i]
4	Linear OA(4¹⁷⁸, 262, F₄, 82) (dual of [262, 84, 83]-code)	[i]
5	Linear OOA(4¹⁷², 126, F₄, 2, 82) (dual of [(126, 2), 80, 83]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4¹⁷², 84, F₄, 3, 82) (dual of [(84, 3), 80, 83]-NRT-code)	[i]		OOA Folding