z-bibfile.bib

@misc{inferati-bfv,
author = {{Inferati Inc.}},
title = {{Introduction to the BFV encryption scheme}},
year = 2021,
note = {\url{https://www.inferati.com/blog/fhe-schemes-bfv}}
}

@misc{cryptoeprint:2012/144,
      author = {Junfeng Fan and Frederik Vercauteren},
      title = {Somewhat Practical Fully Homomorphic Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/144},
      year = {2012},
    note = {\url{https://eprint.iacr.org/2012/144}}
}

@misc{cryptoeprint:2016/510,
      author = {Jean-Claude Bajard and Julien Eynard and Anwar Hasan and Vincent Zucca},
      title = {A Full {RNS} Variant of {FV} like Somewhat Homomorphic Encryption Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/510},
      year = {2016},
    note = {\url{https://eprint.iacr.org/2016/510}}
}

@misc{cryptoeprint:2022/1363,
      author = {Robin Geelen and Frederik Vercauteren},
      title = {Bootstrapping for {BGV} and {BFV} Revisited},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1363},
      year = {2022},
      doi = {10.1007/s00145-023-09454-6},
    note = {\url{https://eprint.iacr.org/2022/1363}}

}

@article{10.1007/s00145-020-09368-7,
author = {Halevi, Shai and Shoup, Victor},
title = {Bootstrapping for HElib},
year = {2021},
issue_date = {Jan 2021},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
volume = {34},
number = {1},
issn = {0933-2790},
note = {\url{https://doi.org/10.1007/s00145-020-09368-7}},
doi = {10.1007/s00145-020-09368-7},
journal = {J. Cryptol.},
month = jan,
numpages = {44},
keywords = {Implementation, Homomorphic encryption, Bootstrapping}
}

@misc{huo2019notelowerdigitsextraction,
      title={A Note on Lower Digits Extraction Polynomial for Bootstrapping}, 
      author={Mingjia Huo and Kewen Wu and Qi Ye},
      year={2019},
      eprint={1906.02867},
      archivePrefix={arXiv},
      primaryClass={cs.CR},
        note = {\url{https://arxiv.org/abs/1906.02867}},
}

@misc{cryptoeprint:2024/1587,
      author = {Robin Geelen and Frederik Vercauteren},
      title = {Fully Homomorphic Encryption for Cyclotomic Prime Moduli},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1587},
      year = {2024},
        note = {\url{https://eprint.iacr.org/2024/1587}},
}

@misc{cyclotomic-polynomial,
      author = {{Cornell University}},
      title = {Fields and Cyclotomic Polynomials},
      year = {2024},
        note = {\url{https://e.math.cornell.edu/people/belk/numbertheory/CyclotomicPolynomials.pdf}}
}

@misc{polynomial-ring,
      author = {{Wikipedia}},
      title = {Polynomial Ring},
      howpublished = {},
      year = {2024},
        note = {\url{https://en.wikipedia.org/wiki/Polynomial_ring}}
}

@misc{polynomial-rings,
      author = {{Al Doerr, Ken Levasseur}},
      title = {Polynomial Rings},
      howpublished = {},
      year = {2024},
        note = {\url{https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Applied_Discrete_Structures_(Doerr_and_Levasseur)/16%3A_An_Introduction_to_Rings_and_Fields/16.03%3A_Polynomial_Rings}}
}

@misc{crt,
      author = {{Mei Li, Curtis Clement et al.}},
      title = {Chinese Remainder Theorem},
      howpublished = {},
      year = {2024},
        note = {\url{https://brilliant.org/wiki/chinese-remainder-theorem/}}
}


@misc{ntt,
      author = {{David Maier}},
      title = {Polynomials and the Fast Fourier Transform (FFT)},
      howpublished = {},
      year = {2011},
        note = {\url{http://web.cecs.pdx.edu/~maier/cs584/Lectures/lect07b-11-MG.pdf}}
}

@misc{lattice-crypto,
      author = {{StephenHarrigan}},
      title = {Lattice-BasedCryptographyandtheLearningwith ErrorsProblem},
      howpublished = {},
      year = {2017},
        note = {\url{https://mysite.science.uottawa.ca/mnevins/papers/StephenHarrigan2017LWE.pdf}}
}

@misc{tfhe-1,
      author = {{Ilaria Chillotti}},
      title = {TFHE Deep Dive - Part I - Ciphertext types},
      howpublished = {},
      year = {2022},
        note = {\url{https://www.zama.ai/post/tfhe-deep-dive-part-1}}
}

@misc{tfhe-2,
      author = {{Ilaria Chillotti}},
      title = {TFHE Deep Dive - Part II - Encodings and linear leveled operation},
      howpublished = {},
      year = {2022},
        note = {\url{https://www.zama.ai/post/tfhe-deep-dive-part-2}}
}


@misc{modulus-switch-lwe,
      author = {{Jeremy Kun}},
      title = {Modulus Switching in LWE},
      howpublished = {},
      year = {2022},
        note = {\url{https://www.jeremykun.com/2022/07/16/modulus-switching-in-lwe/}}
}

@misc{tfhe-3,
      author = {{Ilaria Chillotti}},
      title = {TFHE Deep Dive - Part III - Key switching and leveled multiplications},
      howpublished = {},
      year = {2022},
        note = {\url{https://www.zama.ai/post/tfhe-deep-dive-part-3}}
}

@misc{tfhe-4,
      author = {{Ilaria Chillotti}},
      title = {TFHE Deep Dive - Part IV - Programmable Bootstrapping},
      howpublished = {},
      year = {2022},
        note = {\url{https://www.zama.ai/post/tfhe-deep-dive-part-4}}
}

@misc{torus,
      author = {Marc Joye},
      title = {Guide to Fully Homomorphic Encryption over the [Discretized] Torus},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/1402},
      year = {2021},
        note = {\url{https://eprint.iacr.org/2021/1402}}
}

@InProceedings{ckks,
author="Cheon, Jung Hee
and Han, Kyoohyung
and Kim, Andrey
and Kim, Miran
and Song, Yongsoo",
editor="Nielsen, Jesper Buus
and Rijmen, Vincent",
title="Bootstrapping for Approximate Homomorphic Encryption",
booktitle="Advances in Cryptology -- EUROCRYPT 2018",
year="2018",
publisher="Springer International Publishing",
address="Cham",
pages="360--384",
isbn="978-3-319-78381-9",
note = {\url{https://eprint.iacr.org/2018/153.pdf}}
}

@misc{cryptoeprint:2020/552,
      author = {Joon-Woo Lee and Eunsang Lee and Yongwoo Lee and Young-Sik Kim and Jong-Seon No},
      title = {High-Precision Bootstrapping of {RNS}-{CKKS} Homomorphic Encryption Using Optimal Minimax Polynomial Approximation and Inverse Sine Function},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/552},
      year = {2020},
        note = {\url{https://eprint.iacr.org/2020/552}}
}

@misc{cryptoeprint:2022/1167,
      author = {Youngjin Bae and Jung Hee Cheon and Wonhee Cho and Jaehyung Kim and Taekyung Kim},
      title = {{META}-{BTS}: Bootstrapping Precision Beyond the Limit},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1167},
      year = {2022},
        note = {\url{https://eprint.iacr.org/2022/1167}}
}

@inproceedings{rns-ckks,
author = {Cheon, Jung Hee and Han, Kyoohyung and Kim, Andrey and Kim, Miran and Song, Yongsoo},
title = {A Full RNS Variant of Approximate Homomorphic Encryption},
year = {2018},
isbn = {978-3-030-10969-1},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
url = {https://doi.org/10.1007/978-3-030-10970-7_16},
doi = {10.1007/978-3-030-10970-7_16},
booktitle = {Selected Areas in Cryptography – SAC 2018: 25th International Conference, Calgary, AB, Canada, August 15–17, 2018, Revised Selected Papers},
pages = {347–368},
numpages = {22},
keywords = {Homomorphic encryption, Approximate arithmetic, Residue number system},
location = {Calgary, AB, Canada},
        note = {\url{https://eprint.iacr.org/2018/931.pdf}}
}

@misc{rns-bfv,
      author = {Jean-Claude Bajard and Julien Eynard and Anwar Hasan and Vincent Zucca},
      title = {A Full {RNS} Variant of {FV} like Somewhat Homomorphic Encryption Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/510},
      year = {2016},
      url = {https://eprint.iacr.org/2016/510},
        note = {\url{https://eprint.iacr.org/2016/510}}
}

@misc{rns-bfv2,
      author = {Robin Geelen and Michiel Van Beirendonck and Hilder V. L. Pereira and Brian Huffman and Tynan McAuley and Ben Selfridge and Daniel Wagner and Georgios Dimou and Ingrid Verbauwhede and Frederik Vercauteren and David W. Archer},
      title = {{BASALISC}: Programmable Hardware Accelerator for {BGV} Fully Homomorphic Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/657},
      year = {2022},
      doi = {10.46586/tches.v2023.i4.32-57},
      url = {https://eprint.iacr.org/2022/657},
        note = {\url{https://eprint.iacr.org/2022/657}}
}



@misc{bgv-modswitch1,
      author = {Shai Halevi and Victor Shoup},
      title = {Design and implementation of {HElib}: a homomorphic encryption library},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1481},
      year = {2020},
      url = {https://eprint.iacr.org/2020/1481},
      note = {\url{https://eprint.iacr.org/2020/1481}},
}

@misc{bgv-modswitch2,
      author = {Masahiro Yagisawa},
      title = {Fully Homomorphic Encryption without bootstrapping},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/474},
      year = {2015},
      url = {https://eprint.iacr.org/2015/474},
      note = {\url{https://eprint.iacr.org/2015/474}}
}

@misc{bgv-modswitch3,
      author = {Craig Gentry and Shai Halevi and Nigel P.  Smart},
      title = {Homomorphic Evaluation of the {AES} Circuit},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/099},
      year = {2012},
      url = {https://eprint.iacr.org/2012/099},
      note = {\url{https://eprint.iacr.org/2012/099}}
}