2 papers
cs.IT2020
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…
cs.IT2017
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…