Homological Cryptography

Homological Cryptography embeds messages in the hidden homology classes of a simplicial complex and conceals them with controlled boundary noise, reducing security to the intractability of topological decision problems, while leveraging homology and cohomology operations to provide native additive and multiplicative homomorphic functionality and support threshold protocols via filtrations.

Publication Details

Journal
Open Science Framework
Published
2025-01-01
DOI
https://doi.org/10.17605/osf.io/nmv3w
Primary Topic
Topological and Geometric Data Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Homological Cryptography

Open Science Framework
Topological and Geometric Data Analysis
article

Homological Cryptography

article en

Abstract

Homological Cryptography embeds messages in the hidden homology classes of a simplicial complex and conceals them with controlled boundary noise, reducing security to the intractability of topological decision problems, while leveraging homology and cohomology operations to provide native additive and multiplicative homomorphic functionality and support threshold protocols via filtrations.

Open Science Framework
Peace, Justice and strong institutions
Openalex Percentile: Top 59%
Topological and Geometric Data Analysis
DOIOpen Access PDFOpenAlex
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Homological Cryptography · Open Science Framework (2025) | TGRS Research Map | TGRS