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3 publications

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    Extended Cryptosystem

    By Sunil Kumar Kashyap, Birendra Kumar Sharma, Amitabh Banerjee

    Abstract: In this paper, we propose Discrete Logarithm Problems (DLPs) over finite extension Fields. Consequently we propose Public Key Cryptosystems (PKCs), corresponding to these DLP As we know all the DLPs so designed are based on Galois Field of order p. More emphasis is given on algebraic aspect of the respective Galois Fields for DLPs defined therein.2000 Mathematics Subject Classification Number: 94A60.Keywords and Phrases: DLP, Finite Extension Field, PKCs, Galois Field, …

    Published in Journal of Multimedia Technology & Recent Advancements · Vol. 7, Issue 2, 2020 · pp. 9–12 Read article

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    Discrete Logarithm and Cryptosystem

    By Sunil Kumar Kashyap, Birendra Kumar Sharma, Amitabh Banerjee

    Abstract: We formulate a new DLP and designed a PKC. Our ProposedDiscrete Logarithm Problem (PDLP) is distinct from the Traditional Discrete Logarithm Problem (TDLP), which is proved in this paper. We use this PDLP for design a PKC. Our claim that, this PKC is more secure than the previous PKC’s, because a one reason is enough in support of this statement that, the PDLP is more complex problem because the computation …

    Published in Journal of Open Source Developments · Vol. 7, Issue 2, 2020 · pp. 15–17 Read article

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    Atomic Cryptosystem

    By Sunil Kumar Kashyap, Birendra Kumar Sharma, Amitabh Banerjee

    Abstract: We propose public key cryptosystem (PKC), which is based on the atomic discrete logarithm problem (DLP). Sometimes, the word atomic referred as logical. This can be found by the logical formulation over the finite field. We study the work of [1-10].Atomic cryptosystem deals with the Galois representation of the elements of the cyclic group over finite field for providing the security against semantic attacks. 2000 Mathematics Subject Classification Number: 94A60.Keywords: …

    Published in Journal of Open Source Developments · Vol. 7, Issue 2, 2020 · pp. 1–6 Read article

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