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Eigenvalues of zero divisor graphs of principal ideal rings
Linear and multilinear algebra, 2021In this paper, we first study zero divisor graphs over finite chain rings. We determine their rank, determinant, and eigenvalues using reduction graphs.
Jitsupat Rattanakangwanwong +1 more
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Rank-Metric Codes Over Finite Principal Ideal Rings and Applications
IEEE Transactions on Information Theory, 2019In this paper, it is shown that some results in the theory of rank-metric codes over finite fields can be extended to finite commutative principal ideal rings.
Hermann Tchatchiem Kamche +1 more
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Abelian Codes in Principal Ideal Group Algebras
IEEE Transactions on Information Theory, 2013We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic characterization of abelian codes in any group algebra and provide some general results.
Somphong Jitman +3 more
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Full and Elementary Nets over the Quotient Field of a Principal Ideal Ring
Journal of Mathematical Sciences, 2018R. Y. Dryaeva +2 more
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A reduction from Hawk to the principal ideal problem in a quaternion algebra
IACR Cryptology ePrint ArchiveCl´emence Chevignard +4 more
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