Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Chaudhary, Ankit; Kumar, Manoj; Upreti, Kamal; Rathor, Akash; Gupta, Pratik; Farhat, Suryya; Goswami, Shivender Title A name given to the resource Computing isogeny on Edwards curves for quantum safe cryptography Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived International Journal of Information Technology (Singapore);Volume;17;Issue;5;pp.3107-3118 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s41870-025-02475-3" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s41870-025-02475-3</a> <br /><br /><a href="https://www.scopus.com/pages/publications/86000505726?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/86000505726?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Chaudhary A., Department of Mathematics and Statistics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249404, India; Kumar M., Department of Mathematics and Statistics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249404, India; Upreti K., School of Sciences, CHRIST University DELHI NCR Campus, Uttar Pradesh, Ghaziabad, India; Rathor A., Department of Mathematics and Statistics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249404, India; Gupta P., Department of Mathematics, D.A.V. Degree College, Uttar Pradesh, Lucknow, India; Farhat S., Department of Applied Science and Humanities ADGIPS Shashtri Park, New Delhi, India; Goswami S., Department of Mathematics and Statistics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249404, India Description An account of the resource In recent years, cryptographic research has seen a surge of interest in post-quantum cryptography driven by the potential threat that quantum computers pose to traditional public-key cryptosystems. Isogeny-based cryptography is a promising method in post-quantum cryptography, relying on the computational challenge of calculating isogenies, which are specific mappings between elliptic curves. The efficiency of isogeny computations is vital for real-world cryptographic applications. However, computing isogenies, especially with large parameters, can be very resource intensive. To overcome this challenge, we purpose an efficient method for computing odd-degree isogenies on certain form of an elliptic curves by employing an auxiliary coordinate. Our work appears to bridge the gap in computational efficiency for odd-degree isogenies, especially in terms of reducing the complexity of the isogeny computations when compared to traditional affine and projective methods. The derived formula is more efficient than affine and projective cases. We also analyse the algebraic complexity of these calculations and compare them to alternative formulae. Additionally, we evaluate the runtimes for isogeny computation across different prime numbers and compare them with other elliptic curve model to check the performance. At last, we suggest potential avenues for future work. Bharati Vidyapeeth's Institute of Computer Applications and Management 2025. Subject The topic of the resource Cryptography; Elliptic curves; Isogenies; Post-quantum cryptography; Supersingular elliptic curves Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. Relation A related resource ISSN: 25112104; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online