Algebraic Coding Theory Over Finite Commutative Rings.pdf

Algebraic Coding Theory Over Finite Commutative Rings

Steven-T Dougherty

Date de parution

26 Oct 2017 ... the finite, commutative, unital ring R under composition. We generalize ... coding theory: mostly when R is a finite field (see e.g. [1, 2, 3, 4, 5], and for ... [13] H. Lausch, W. Nöbauer, Algebra of polynomials, North-Holland Pub-. 27 Feb 2018 ... is very rich; in particular, the first-order theory of this structure is undecidable. ... The main interest in Jacobson rings in commutative algebra and algebraic geometry is ... be the set of codes of finite sequences (a0,…,an)∈Zn+1.

6.76 MB Taille du fichier
9783319598055 ISBN
Algebraic Coding Theory Over Finite Commutative Rings.pdf

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Notes actuelles

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Sofya Voigtuh

We give the necessary definitions and foundational results from commutative ring theory for the study of codes over rings. We give the definition of Frobenius rings  ... This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive.

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Mattio Müllers

International Conference on Noncommutative Rings and Their Applications ... Ideals of the Enveloping Algebra U(sl3) ... coding theory, in which rings and modules play a more and more substantial role. ... Finite Fields, 2015 ... of codes over local commutative Frobenius rings are discussed, and a list of open problems.

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Noels Schulzen

Repeated-root constacyclic codes over finite … Repeated-root constacyclic codes over finite commutative chain rings and their distances @inproceedings{Sharma2017RepeatedrootCC, title={Repeated-root constacyclic codes over finite commutative chain rings and their distances}, author={Anuradha Sharma and Tania Sidana}, year={2017} } Anuradha Sharma, Tania Sidana

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Jason Leghmann

Download Algebraic Coding Theory – PDF Search …

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Jessica Kolhmann

Algebraic Coding Theory Over Finite Commutative Rings. Algebraic Coding Theory Over Finite Commutative Rings pp 83-100 | Cite as. Cyclic and Constacyclic Codes . Authors; Authors and affiliations; Steven T. Dougherty; Chapter. First Online: 05 July 2017. 1 Citations; 565 Downloads; Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH) Abstract. In this chapter, we study … Algebraic Coding Theory Over Finite Commutative