Computer Science and Information Engineering, World Congress on (2009)
Los Angeles, California USA
Mar. 31, 2009 to Apr. 2, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.341
We present a method to store a set of vectors whose coefficients are elements over a finite ring or a prime field. A D-heap is used with the space-time tradeoff technique, to avoid collisions, to store a vector in a set in $\Theta(n)$ time, where $n$ is the length of the vector. We compare this method to hash tables and show why their worst case is the best case of this method. Also the implementation is given in Sage to work with coding theory libraries.
Sage, Magma, Finite Rings, D-Heaps, Hashing, Cython
C. A. García-Vazquez and C. A. López-Andrade, "D-Heaps as Hash Tables for Vectors over a Finite Ring," 2009 WRI World Congress on Computer Science and Information Engineering, CSIE(CSIE), Los Angeles, CA, 2009, pp. 162-166.