MinT - Information on Result #2291475

Information on Result #2291475

Linear OA(81⁷⁴, 1313, F₈₁, 38) (dual of [1313, 1239, 39]-code), using 1 times code embedding in larger space based on linear OA(81⁷³, 1312, F₈₁, 38) (dual of [1312, 1239, 39]-code), using

the BCH-code C(I) with length 1312Â | 81²âˆ’1, defining interval IÂ =Â {1,40,79,…,132}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 39 [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		Method
1	Linear OOA(81⁷⁴, 1307, F₈₁, 2, 38) (dual of [(1307, 2), 2540, 39]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(81⁷⁴, 1307, F₈₁, 3, 38) (dual of [(1307, 3), 3847, 39]-NRT-code)	[i]
3	Linear OOA(81⁷⁴, 1307, F₈₁, 4, 38) (dual of [(1307, 4), 5154, 39]-NRT-code)	[i]
4	Digital (36, 74, 1307)-net over F₈₁	[i]