5 papers
Exact Cardinality And Nonredundant Parametrization Of Character-Polynomial Codes
Felice Manganiello, Sitraka Randrianarivo
Character-polynomial codes are constructed by evaluating finite field polynomials and mapping the results to complex roots of unity through additive characters. This paper shows th…
Batch Codes from Affine Cartesian Codes and Quotient Spaces
Travis Baumbaugh, Haley Colgate, Timothy Jackman +1
Affine Cartesian codes are defined by evaluating multivariate polynomials at a cartesian product of finite subsets of a finite field. In this work we examine properties of these co…
Multicast Triangular Semilattice Network
Angelina Grosso, Felice Manganiello, Shiwani Varal +1
We investigate the structure of the code graph of a multicast network that has a characteristic shape of an inverted equilateral triangle. We provide a criterion that determines th…
Batch Codes from Hamming and Reed-Müller Codes
Travis Baumbaugh, Yariana Diaz, Sophia Friesenhahn +2
Batch codes, introduced by Ishai et al. encode a string into an -tuple of strings, called buckets. In this paper we consider multiset batch codes wherein a set of…
Computation of the Weight Distribution of CRC Codes
Felice Manganiello
In this article, we illustrate an algorithm for the computation of the weight distribution of CRC codes. The recursive structure of CRC codes will give us an iterative way to compu…