Results 11 to 20 of about 10,130,538 (248)

Cyclic codes for T-user channel over integer rings. [PDF]

open access: yes, 1994
Coding for the synchronous noiseless T-user real adder channel is considered by employing cyclic codes with symbols from an arbitrary finite integer ring.
Fan, P. Z.   +3 more
core   +4 more sources

On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]

open access: yes, 2005
Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
core   +1 more source

Pathological modules over tame rings [PDF]

open access: yes, 1976
Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
core   +1 more source

Unramified representations of reductive groups over finite rings [PDF]

open access: yes, 2009
Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields.
Stasinski, Alexander
core   +1 more source

Stabilizer Codes over Frobenius Rings [PDF]

open access: yes, 2012
In quantum information processing, the information is stored in the state of quantum mechanical systems. Since the interaction with the environment is unavoidable, there is a need for quantum error correction to protect the stored information. Until now,
Nadella, Sushma
core   +3 more sources

Multiplicative Structure and Hecke Rings of Generator Matrices for Codes over Quotient Rings of Euclidean Domains

open access: yesMathematics, 2017
In this study, we consider codes over Euclidean domains modulo their ideals. In the first half of the study, we deal with arbitrary Euclidean domains.
Hajime Matsui
doaj   +1 more source

Some results on free Euclidean self-dual codes over F2+vF2

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thispaper, free Euclidean self-dual codes over the ring F2+ v F2 with v2=vof order 4 are considered. A necessary andsufficient condition for the form of the generator matrix of a free Euclideanself-dual code is given.
Refia Aksoy, Fatma Çalışkan
doaj   +1 more source

Smarandache near-rings [PDF]

open access: yes, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

A Note on Linear Codes over Semigroup Rings

open access: yesTrends in Computational and Applied Mathematics, 2011
. In this paper, we introduced new construction techniques of BCH, alternant, Goppa, Srivastava codes through the semigroup ring B[X; 13Z0] instead of the polynomial ring B[X; Z0], where B is a finite commutative ring with identity, and for these ...
Antonio Aparecido de Andrade   +2 more
doaj   +1 more source

Simplex Linear Codes Over the Ring F2 + vF2 [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2008
In this paper, we construct simplex linear codes over the ring of types , where and . We also determine some of their properties. These codes are extension and generalization of simplex codes over the rings .
Mohammed AL-Ashker, Ibtisam Isleem
doaj   +1 more source

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