Computer Science and Information Engineering, World Congress on (2009)

Los Angeles, California USA

Mar. 31, 2009 to Apr. 2, 2009

ISBN: 978-0-7695-3507-4

pp: 162-166

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.341

ABSTRACT

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.

INDEX TERMS

Sage, Magma, Finite Rings, D-Heaps, Hashing, Cython

CITATION

César A. García-Vazquez,
Carlos A. López-Andrade,
"D-Heaps as Hash Tables for Vectors over a Finite Ring",

*Computer Science and Information Engineering, World Congress on*, vol. 03, no. , pp. 162-166, 2009, doi:10.1109/CSIE.2009.341