Tech companies seeking patents in India face a persistent challenge: while their innovations increasingly depend on mathematical methods, from AI algorithms to cryptographic solutions, these very methods often lead to rejections under Section 3(k) of the Indian Patents Act. However, the recent Madras High Court ruling in Idemia Identity & Security France vs. The Controller General of Patents (November 2024), provides much-needed clarity on how mathematical methods should be assessed for patentability. While this particular case revolves around a cryptographic technique using elliptical curve mathematics, its implications extend far beyond cryptography. It touches upon a broader concern that patent applicants, especially those dealing with AI, machine learning, and software-driven innovations, have long grappled with in India:
“When does a mathematical method transform into a patentable technical contribution?”
Mathematical Exclusions in Patent Law
The appellant, Idemia Identity & Security France, had filed Patent Application No. 538/CHENP/2012 for an invention titled “Cryptography on a Simplified Elliptical Curve”. The invention aimed to enhance encryption efficiency and mitigate security vulnerabilities caused by timing-based attacks.
Traditionally, cryptographic algorithms rely on probabilistic methods, where execution time can vary based on input values. This variation can be exploited by attackers to gain insights into encrypted messages. Idemia’s method sought to mask these execution time differences by implementing a constant-time algorithm, ensuring uniform computational steps regardless of the input message.
Despite the technical merit of the invention, the Indian Patent Office (IPO) rejected the application, citing Section 3(k), which excludes mathematical methods, business methods, and algorithms from patentability. The IPO reasoned that the core of the invention was a mathematical formula, making it ineligible for a patent.
Rigid Interpretation of Mathematical Exclusions in Patent Examination
The IPO rejected Idemia’s application on two key grounds:
. Mathematical Method Rejection Since the core of the invention relied on elliptical curve mathematics, the IPO categorized it as a mathematical method per se, rendering it unpatentable under Section 3(k).
. Business Method Rejection Without prior mention in the hearing notice, the IPO additionally rejected the application by stating that it constituted a business method, which also falls under Section 3(k).
This ruling is reflective of a pattern in patent refusals where inventions that leverage mathematical models, whether for encryption, AI, or predictive modelling, are dismissed outright without assessing whether they contribute a technical solution.
Broader Implications of Mathematical Exclusions in Patent Law
While this case arose in the context of cryptography, the underlying legal and technical issue is much broader:
AI-driven models, such as neural networks, reinforcement learning algorithms, and decision trees, fundamentally rely on mathematical optimizations.
Fields like financial modeling, predictive analytics, and digital signal processing frequently apply mathematical transformations to extract meaningful real-world insights.
Optimization algorithms used in industrial automation and engineering simulations are deeply rooted in mathematical computations.
Yet, the IPO’s rigid application of Section 3(k) often leads to blanket rejections of such inventions, without considering whether they offer a technical contribution beyond the mathematical formula itself.
Court’s Critique of the IPO’s Examination Approach
The Madras High Court identified key flaws in the IPO’s approach
Failure to Assess Technical Contribution The Court noted that the IPO had not engaged with the technical effect of the invention, despite the fact that it solved a real-world encryption problem. The ruling emphasized that not all inventions involving mathematics should be excluded if they lead to a practical application.
Procedural Irregularities in the Rejection Process The IPO introduced the business method exclusion for the first time in the rejection order, depriving the applicant of an opportunity to respond. The Court held that this was a procedural irregularity, warranting reconsideration of the application.
International Perspective on Mathematical Contributions in Patents The Court referenced the European Patent Office (EPO) Guidelines, which acknowledge that mathematical methods may be patentable if they contribute to a technical effect—such as improved encryption, data compression, or AI-based decision-making. Similarly, India’s CRI Guidelines (Clause 4.5.1) state that mere mathematical presence does not automatically render an invention unpatentable if it achieves a practical technical effect.
The Idemia ruling provides much-needed judicial clarity on how mathematical methods should be assessed under Section 3(k). The Court has reinforced the principle that a mathematical model used in a technical process should not be rejected outright without considering its practical application.
For patent applicants in India, this ruling means that –
· Mathematical models should not be dismissed outright if they result in a tangible technical contribution.
· Applicants can challenge Section 3(k) rejections if they can demonstrate a clear technical effect.
· The IPO is expected to conduct a more detailed examination rather than issuing blanket rejections.
· Patent claims should emphasize the technical application rather than just the underlying mathematical operation.
· Applicants dealing with AI and software patents must proactively reference CRI Guidelines and international precedents to strengthen their case.
· The IPO must provide reasoned rejections that analyze technical merit rather than issuing blanket exclusions under Section 3(k).
By emphasizing technical contributions over formulaic exclusions, this ruling reinforces the clarification that will likely influence future decisions involving mathematical inventions in India’s patent system. This is a step toward a more balanced and structured approach to mathematical patentability.
Disclaimer: This article is intended for informational purposes only and does not constitute legal advice. The views expressed are based on the interpretation of recent court decisions and are not a substitute for professional legal consultation. If you would like advice tailored to your specific patent matters, feel free to reach out at mail@radeyip.com




