MinT - Information on Result #2277318

Information on Result #2277318

Linear OA(5²⁵, 32, F₅, 18) (dual of [32, 7, 19]-code), using 1 times code embedding in larger space based on linear OA(5²⁴, 31, F₅, 18) (dual of [31, 7, 19]-code), using

contraction [i] based on linear OA(5⁵⁵, 62, F₅, 37) (dual of [62, 7, 38]-code), using the BCH-code C(I) with length 62Â | 5³âˆ’1, defining interval IÂ =Â {−1,18,37,…,1}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 38 [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 OOA(5²⁵, 16, F₅, 2, 18) (dual of [(16, 2), 7, 19]-NRT-code)	[i]		OOA Folding