MinT - Information on Result #831592

Information on Result #831592

Linear OOA(4¹⁷⁷, 129, F₄, 2, 86) (dual of [(129, 2), 81, 87]-NRT-code), using OOA 2-folding based on linear OA(4¹⁷⁷, 258, F₄, 86) (dual of [258, 81, 87]-code), using

1 times code embedding in larger space [i] 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁷⁷, 129, F₄, 2, 85) (dual of [(129, 2), 81, 86]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁷⁷, 129, F₄, 2, 84) (dual of [(129, 2), 81, 85]-NRT-code)	[i]
3	Linear OOA(4¹⁷⁷, 129, F₄, 2, 83) (dual of [(129, 2), 81, 84]-NRT-code)	[i]
4	Linear OOA(4¹⁷⁹, 130, F₄, 2, 86) (dual of [(130, 2), 81, 87]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(4¹⁷⁸, 129, F₄, 2, 86) (dual of [(129, 2), 80, 87]-NRT-code)	[i]		OOA Duplication