Here I have presented about implementing radix sort with linked buckets concept to reduce the memory usage for Large Data Set. In this research paper I have discussed about the various ways to implement radix sort, problems with the radix sort, brief study of previous works of radix sort & elaborating the use of radix sort for large data set. I try to analyse the memory usage problems of radix sort through this algorithm. Here I have taken the help of C language to execute and analyse the algorithm.