@article{(Open Science Index):https://publications.waset.org/pdf/9592, title = {Parallel-Distributed Software Implementation of Buchberger Algorithm}, author = {Praloy Kumar Biswas and Prof. Dipanwita Roy Chowdhury}, country = {}, institution = {}, abstract = {Grobner basis calculation forms a key part of computational commutative algebra and many other areas. One important ramification of the theory of Grobner basis provides a means to solve a system of non-linear equations. This is why it has become very important in the areas where the solution of non-linear equations is needed, for instance in algebraic cryptanalysis and coding theory. This paper explores on a parallel-distributed implementation for Grobner basis calculation over GF(2). For doing so Buchberger algorithm is used. OpenMP and MPI-C language constructs have been used to implement the scheme. Some relevant results have been furnished to compare the performances between the standalone and hybrid (parallel-distributed) implementation.}, journal = {International Journal of Computer and Information Engineering}, volume = {7}, number = {2}, year = {2013}, pages = {224 - 231}, ee = {https://publications.waset.org/pdf/9592}, url = {https://publications.waset.org/vol/74}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 74, 2013}, }