Cryptography · Research · Intellectual Property

Cryptography for a world of autonomous intelligence

Noumerica Data Security is a Canadian research and intellectual property company developing mathematically grounded technologies for encryption, compartmentalization, and cryptographic control.

Security through structure

Noumerica develops cryptographic methods in which sensitive information and authority need not depend on a single privileged component, master secret, or centralized trust point.

Designed for security environments shaped by post-quantum risk, autonomous AI systems, and increasingly distributed infrastructure, the technology aims to reduce dependence on centralized trust and strengthen long-term cryptographic resilience.

Technology

Dirichlet Convolution Cryptography

Noumerica develops cryptographic methods based on nonlocal arithmetic structure, particularly Dirichlet Convolution Modulo p (DCM). Rather than relying only on local substitutions and repeated mixing, DCM uses multiplicative structure to propagate information and randomness across encrypted data.

Fresh salting and nonlocal mixing give rise to information-theoretic masking properties established in Noumerica’s current research. The same algebraic structure also allows cryptographic transformations and keys to compose naturally.

Technical Overview (PDF)

Cryptographic foundation

DCM

Dirichlet Convolution Modulo p is Noumerica’s core cryptographic framework, using multiplicative structure, nonlocal mixing, and fresh randomness to protect information.

Architectural direction

S³

Security through Structural Silos explores how information and cryptographic authority can be compartmentalized across independently protected domains, limiting the consequences of compromise or privilege escalation.

Research · IP · Collaboration

From theory to application

Noumerica’s principal assets are research, algorithms, and patent-pending intellectual property. The company is open to evaluation, licensing, and strategic collaboration with research, industry, and public-sector partners.

A cryptographic laboratory in corporate form, developing mathematical technologies for security in an increasingly autonomous computational world.

For developers and partners

Noumerica is interested in collaborations where cryptographic protection must be integrated with larger computational, communication, or AI-enabled systems.

AI agent and multi-agent infrastructure
secure data exchange, messaging, and collaboration
distributed authorization and privileged-access architectures
IoT, edge-device, and infrastructure security
government, defence, sovereign, and critical-infrastructure systems