[2311.11392] An Efficient Elliptic Curve Cryptography Arithmetic Using Nikhilam Multiplication
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Computer Science > Cryptography and Security

arXiv:2311.11392 (cs)
[Submitted on 19 Nov 2023]

Title:An Efficient Elliptic Curve Cryptography Arithmetic Using Nikhilam Multiplication

Authors:Prokash Barman, Banani Saha
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Abstract:Multiplication is one of the most important operation in Elliptic Curve Cryptography (ECC) arithmetic. For point addition and point doubling in ECC scalar (integer) multiplication is required. In higher order classical (standard) multiplication many intermediate operations are required. Reduced operation in multiplication will increase the functional speed of ECC arithmetic. These goals can be achieved using ancient multiplication algorithm namely Nikhilam Sutra. Nikhilam Sutra is one of the Sutra (algorithm) within 16 Vedic mathematics Sutras (algorithms). Nikhilam Sutra is efficient for multiplying two large decimal numbers. The Sutra reduces multiplication of two large numbers into two smaller numbers multiplication. The functional speed of Elliptic Curve Cryptography can be increased using Nikhilam method for scalar multiplication.
Subjects: Cryptography and Security (cs.CR)
Cite as: arXiv:2311.11392 [cs.CR]
  (or arXiv:2311.11392v1 [cs.CR] for this version)
  https://doi.org/10.48550/arXiv.2311.11392

Submission history

From: Prokash Barman [view email]
[v1] Sun, 19 Nov 2023 18:29:51 UTC (245 KB)
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