MinT - Information on Result #2246648

Information on Result #2246648

Linear OA(5⁵⁹, 1562, F₅, 15) (dual of [1562, 1503, 16]-code), using 1 times truncation based on linear OA(5⁶⁰, 1563, F₅, 16) (dual of [1563, 1503, 17]-code), using

the BCH-code C(I) with length 1563Â | 5¹⁰âˆ’1, defining interval IÂ =Â {3,211,419,…,−3}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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(5⁵⁹, 1562, F₅, 2, 15) (dual of [(1562, 2), 3065, 16]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(5⁵⁹, 1562, F₅, 3, 15) (dual of [(1562, 3), 4627, 16]-NRT-code)	[i]
3	Digital (44, 59, 1562)-net over F₅	[i]
4	Linear OOA(5⁵⁹, 781, F₅, 2, 15) (dual of [(781, 2), 1503, 16]-NRT-code)	[i]	OOA Folding
5	Linear OOA(5⁵⁹, 520, F₅, 3, 15) (dual of [(520, 3), 1501, 16]-NRT-code)	[i]	OOA Folding