This paper shows how GrÃ¶bner basis techniques can be used in coding theory, especially in the construction and decoding of linear codes. A simple algorithm is given for computing the reduced GrÃ¶bnerâ€¦ (More)

We present a new graph theory package for Maple. The package is presently intended for teaching and research usage and is designed to handle graphs of up to 1000 vertices. Most of the standardâ€¦ (More)

We consider a sequence, pn, defined by p0 = 0; p1 = 1; pn = 1 2 Â· pb3 c + 1 2 Â· pb2 c, n â‰¥ 2. This is a simple example of a sequence in which the n term is a weighted average of the preceding termsâ€¦ (More)

We present an algorithm that incrementally computes a GrÃ¶bner basis for the vanishing ideal of any finite set of points in an affine space under any monomial order, and we apply this algorithm toâ€¦ (More)

We comment on the implementation of various algorithms in multivariate polynomial theory. Specifically, we describe a modular computation of triangular sets and possible applications. Next we discussâ€¦ (More)