# A Secure Median Implementation for the Federated Secure Computing Architecture
## 3 Materials and Methods
### Implementation
Our research not only demonstrates the scalability, efficiency, and real-world applicability of the protocol but also identifies key aspects to consider when using MPC solutions in distributed environments. By highlighting the importance of optimizing for a high number of parties as well as reduced networking overhead, we pave the way for more effective and efficient collaborative research endeavors in fields such as biomedical research. **Author Contributions:** Conceptualization: C.G. ; Methodology: C.G. and H.B. ; Software: C.G. and H.B. ; Validation: C.G. ; Formal analysis: C.G. ; Investigation: C.G. ; Resources: H.B. ; Data Curation: C.G. ; Writing--original draft preparation: C.G. ; Writing--review and editing: C.G., S.V. and H.B. ; Visualization: C.G. ; Supervision: [PERSON] and H.B. ; Project administration: H.B. ; Funding acquisition: H.B. ; All authors have read and agreed to the published version of the manuscript. **Funding:** This study was funded by Stifterverband grant number H110 5114 5132 36534. The funder played no role in the study design, data collection, analysis and interpretation of data, the writing of this manuscript, or the decision to publish. **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** This article does not contain any studies with human or animal subjects performed by any of the authors. **Data Availability Statement:** The public test datasets are available from the UC Irvine Machine Learning Repository (breast cancer dataset: [[https://archive.ics.uci.edu/dataset/17/breast+cancer+wisconsin+diagnostic](https://archive.ics.uci.edu/dataset/17/breast+cancer+wisconsin+diagnostic)]([https://archive.ics.uci.edu/dataset/17/breast+cancer+wisconsin+diagnostic](https://archive.ics.uci.edu/dataset/17/breast+cancer+wisconsin+diagnostic)) (last accessed: 20 August 2024), heart disease dataset: [[https://archive.ics.uci.edu/dataset/45/heart+disease](https://archive.ics.uci.edu/dataset/45/heart+disease)]([https://archive.ics.uci.edu/dataset/45/heart+disease](https://archive.ics.uci.edu/dataset/45/heart+disease)) (last accessed: 20 August 2024). The source code is available as free and open-source software (FOSS) under the MIT license at [[https://github.com/federatedsecure](https://github.com/federatedsecure)]([https://github.com/federatedsecure](https://github.com/federatedsecure)) (last accessed: 20 August 2024). **Acknowledgments:** The authors acknowledge administrative and technical support from LMU Munich and LMU University Hospital Munich. The authors are grateful for extensive mentoring and guidance by Stifterverband and Project Together during the competition phase. The authors thank individuals from GitHub, Amazon Web Services, and Max Planck Institute for Innovation and Competition for fruitful discussion and support during grant application. We gratefully acknowledge the support of NVIDIA Corporation with the donation of GPU hardware. **Conflicts of Interest:** The authors declare no conflicts of interest. ## Abbreviations

The following abbreviations are used in this manuscript: \begin{tabular}{l l} GDPR & General Data Protection Regulation \\ HIPAA & Health Insurance 24 Portability and Accountability Act \\ PPC & Privacy-Preserving Computation \\ RTT & Round-trip time \\ (S)MPC & Secure Multiparty Computation \\ FSC & Federated Secure Computing \\ SIMON & SImple Multiparty ComputatiON \\ \end{tabular} 

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