Results 261 to 270 of about 1,469,827 (288)

Equivalent irreducible Goppa codes (Corresp.)

IEEE Transactions on Information Theory, 1978
Irreducible Goppa codes extended with an overall parity check are shown to be cyclic or shortened cyclic codes. The location points of a codeword of the extended irreducible codes can be designated as the points of a finite projective geometry. Bounds on the number of equivalence classes of both irreducible and extended irreducible Goppa codes are ...
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Local Equivalence of Surface Code States

2011
Surface code states are an important class of stabilizer states that play a prominent role in quantum information processing. In this paper we show that these states do not contain any counterexamples to the recently disproved LU-LC conjecture. In the process we show that An important consequence of our result is that surface codes do not have any ...
Pradeep Kiran Sarvepalli, Robert Raussendorf   +1 more
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On isometry and equivalence of skew constacyclic codes

Discrete Mathematics
The authors generalize the notion of \(n\)-isometry and \(n\)-equivalence relation introduced by \textit{B. Chen} et al. in [Finite Fields Appl. 18, No. 6, 1217--1231 (2012; Zbl 1272.94089); Discrete Appl. Math. 177, 60--70 (2014; Zbl 1325.94156)] to classify constacyclic codes of length \(n\) over a field \(F_q\), where \(q=p^r\) is a prime power, to ...
Hassan Ou-azzou, Mustapha Najmeddine, Nuh Aydin   +2 more
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On the sample complexity of linear code equivalence for all code rates

Cryptography and Communications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alessandro Budroni, Andrea Natale
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Determining the Equivalence of Algebraic Expressions by Hash Coding

Journal of the ACM, 1971
In algebraic manipulation one often wants to know if two expressions are equivalent under the algebraic and trigonometric identities. One way to check this is to substitute a random value for each variable in the expressions and then see if both expressions evaluate to the same result.
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Relating code equivalence to other isomorphism problems

Designs, Codes and Cryptography
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huck Bennett, Kaung Myat Htay Win
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Code Equivalence and Group Isomorphism

Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms, 2011
László Babai, Paolo Codenotti, Joshua A. Grochow, Youming Qiao   +3 more
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Three Equivalent Codes for Autosegmental Representations.

2016
A string encoding for a subclass of bipartite graphs enables graph rewriting used in autosegmental descriptions of tone phonology via existing and highly optimized finite- state transducer toolkits (Yli-Jyrä 2013). The current work offers a rigorous treatment of this code-theoretic approach, generalizing the methodology to all bipartite graphs having ...
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The symmetry of HK codes representing close-packed structures and the efficient generation of non-equivalent polytypes of a given length

Acta Crystallographica Section A: Foundations and Advances, 2008
Ernesto Estevez-Rams
exaly  

Equivalence of punctured convolutional codes from shift equivalent puncturing patterns

2004
Xiangyang Luo
exaly