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$t$-Frobenius Negacyclic Codes
Let $\mathbb{F}_p$ denote the finite field of order $p$, where $p$ is an odd prime. We study certain quantum negacyclic codes over $\mathbb{F}_p$ which we call $t$-Frobenius negacyclic codes. We obtain a criterion for constructing such codes from certain
Bag, Priyabrata, Dey, Santanu
core
Entrywise transforms preserving matrix positivity and nonpositivity
Abstract We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definite. We refer to these transformations as sign preservers. Compared to the classical work on entrywise preservers by Schoenberg and others, we completely resolve this ...
Dominique Guillot +3 more
wiley +1 more source
Bounds for Coding Theory over Rings. [PDF]
Gassner N +3 more
europepmc +1 more source
FP-Injective and Weakly Quasi-Frobenius Rings
AMSLatex, 15 ...
openaire +3 more sources
Skew Constacyclic Codes over a Non-Chain Ring. [PDF]
Köroğlu ME, Sarı M.
europepmc +1 more source
On the construction of quasi-Frobenius rings
AbstractA quasi-Frobenius ring (QF ring) is a left Artinian ring R with identity for which the left R-module RR is injective. Since Nakayama [8] introduced the notion of a QF ring, quasi-Frobenius rings have been extensively studied. It is well known that for any QF ring R, both Rn, the ring of n × n matrices over R, and RG, group ring over R for any ...
openaire +1 more source
A Note on Quasi-Frobenius Rings
The Faith-Menal conjecture says that every strongly right $Johns$ ring is $QF$. The conjecture is also equivalent to say every right noetherian left $FP$-injective ring is $QF$. In this short article, we show that the conjecture is true under the condition(a proper generalization of left $CS$ condition)that every nonzero complement left ideal is not ...
Shen, Liang, Chen, Jianlong
openaire +2 more sources
Lattices in Tate modules. [PDF]
Poonen B, Rybakov S.
europepmc +1 more source
Orienteering with One Endomorphism. [PDF]
Arpin S +5 more
europepmc +1 more source
Algebraic Method for Solving Multiple Degenerate Eigenvalues in [r]Triangulenes. [PDF]
Dias JR.
europepmc +1 more source

