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The Equivalence of Certain Harper Codes
Bell System Technical Journal, 1969A class of binary encoding algorithms called Harper codes has been studied previously as a means of encoding numbers for transmission over an idealized binary channel. This paper considers a more general and practical transmission system model. For any Harper code, it presents a technique for obtaining the expression for the average absolute numerical ...
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Testing efficiency transfer codes for equivalence
Applied Radiation and Isotopes, 2010Four general Monte Carlo codes (GEANT3, PENELOPE, MCNP and EGS4) and five dedicated packages for efficiency determination in gamma-ray spectrometry (ANGLE, DETEFF, GESPECOR, ETNA and EFFTRAN) were checked for equivalence by applying them to the calculation of efficiency transfer (ET) factors for a set of well-defined sample parameters, detector ...
T, Vidmar +14 more
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A code equivalence between streaming network coding and streaming index coding
2017 IEEE International Symposium on Information Theory (ISIT), 2017We consider a delay-constrained streaming model for zero-error communications and show that under this model, network coding and index coding problems are code equivalent. That is, any streaming network coding instance can be efficiently mapped to a corresponding acyclic streaming index coding instance such that an index code for the latter can be ...
Wong, Ming Fai +2 more
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Equivalent irreducible Goppa codes (Corresp.)
IEEE Transactions on Information Theory, 1978Irreducible 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
2011Surface 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 +1 more
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On isometry and equivalence of skew constacyclic codes
Discrete MathematicsThe 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 +2 more
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Determining the Equivalence of Algebraic Expressions by Hash Coding
Journal of the ACM, 1971In 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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Code Equivalence and Group Isomorphism
Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms, 2011László Babai +3 more
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A family of codes commutatively equivalent to prefix codes
Information Processing Letters, 1981S. Mauceri, Antonio Restivo
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Equivalence of Classical and Quantum Codes
2019Abstract: In classical and quantum information theory there are different types of error-correcting codes being used. We study the equivalence of codes via a classification of their isometries. The isometries of various codes over Frobenius alphabets endowed with various weights typically have a rich and predictable structure.
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