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Method of Generating Irreducible Polynomials over GF(3) on the Basis of Trinomials

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Computer Aided Systems Theory – EUROCAST 2011 (EUROCAST 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6928))

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Abstract

The paper presents a concept design of hardware co-processor that could be used to generate irreducible primitive polynomials with coefficients over GF(3). The process of generating a primitive polynomial is done by replicating the other primitive polynomial which is fixed in the device. The implemented algorithm allows the unit to generate all possible primitive polynomials of the same degree as the stored polynomial. This approach allows us to extend the cryptographic power and capabilities of the existing cryptographic devices.

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Roberto Moreno-Díaz Franz Pichler Alexis Quesada-Arencibia

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Borowik, G., Paszkiewicz, A. (2012). Method of Generating Irreducible Polynomials over GF(3) on the Basis of Trinomials. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2011. EUROCAST 2011. Lecture Notes in Computer Science, vol 6928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27579-1_43

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  • DOI: https://doi.org/10.1007/978-3-642-27579-1_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27578-4

  • Online ISBN: 978-3-642-27579-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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