Publications

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  • Practical Randomized Lattice Gadget Decomposition With Application to FHE, Sohyun Jeon, Hyang-Sook Lee and Jeongeun Park, ESORICS 2023 
  • On insecure Uses of BGN for Privacy Preserving Data Aggregation Protocols, Hyang-Sook Lee, Seongan Lim, Ikkwon Yie and Aaram Yun, to appear in Fundamenta Informaticae, Vol. 188, Issue 2, 2023 
  • On Pairwise Gaussian bases and LLL algorithm for three dimensional lattices, Kitae Kim, Hyang-Sook Lee, Seongan Lim, Jeongeun Park, and Ikkwon Yie, Journal of the Korean Mathematical Society, Vol. 59, No. 6, pp.1047-1065, 2022
  • Memory-Efficient Algorithm for Scalar Multiplications on Twisted Edwards Curves for Isogeny-Based Cryptosystems, Sookyung Eom, Hyang-Sook Lee, and Kyunghwan Song, Mathematical Problems in Engineering, Vol. 2022, 2022
  • Analysis on Yu et al.’s dynamic algorithm for canonic DBC, Sookyung Eom, Hyang-Sook Lee, Seongan Lim, Kyunghwan Song, Discrete Applied Mathematics, vol. 294, pp. 3140, 2021
  • Efficient Lattice Gadget Decomposition Algorithm with Bounded Uniform Distribution, Sohyun Jeon, Hyang-Sook Lee and Jeongeun Park, IEEE Access, Vol. 9, pp-17429-17437, 2021
  • Storage efficient algorithm for Hermite Normal Form using LLL, Gook Hwa Cho, Hyang-Sook Lee, Seongan Lim and Yoonjeong Kim, Linear Algebra and its Applications, Vol.613, pp. 183-200, 2021
  • Algorithms for the Generalized NTRU Equations and Their Storage Analysis, Gook Hwa Cho, Hyang-Sook Lee, and Seongan Lim, to appear in Fundamenta Informaticae, 2020
  • A refinement of M¨uller’s cube root algorithm, Gook Hwa Cho, Soonhak Kwon, Hyang-Sook Lee, to appear in Finite Fields and their Applications, 2020 
  • New orthogonality criterion for shortest vector of lattices and its applications, Hyang-Sook Lee, Seongan Lim, Kyunghwan Song, Ikkwon Yie, Discrete Applied Mathematics, Vol. 283, pp. 323-335, 2020
  • Towards Round-Optimal Secure Multiparty Computations: Multikey FHE without a CRS(Journal Version), Eunkyung Kim, Hyang-Sook Lee, Jeongeun Park, International Journal of Foundations of Computer Science, Vol. 31, No. 02, pp. 157-174, 2020
  • On the Security of Multikey Homomorphic Encryption,  Jeongeun Park, Hyang-Sook Lee, Cryptography and Coding, Lecture Notes in Computer Sciences, 11929, pp. 236-251, 2019
  • On the Non-repudiation of Isogeny Based Signature Scheme Sookyung Eom, Hyang-Sook Lee, Seongan Lim, Information Security Theory and Practice, Lecture Notes in Computer Sciences, 11469, pp.63-77, 2019

  • Minimal condition for shortest vectors in lattices of low dimension, Seunghwan Chang,Taewan Kim, Hyang-Sook Lee, Juhee Lee, Seongan Lim, Electronic Notes in Discrete Mathematics, Vol. 71, pp. 9-14, 2019

  • Improving the Pocklington and Padr´o-S´aez Cube Root Algorithm, Gook Hwa Cho, Hyang-Sook Lee, Bulletin of the Korean Mathematical Society, Vol. 56, no. 2, pp. 277-283, 2019

  • Towards Round-Optimal Secure Multiparty Computations: Multikey FHE without a CRS, ACISP 2018, Eunkyung Kim, Hyang-Sook Lee and Jeongeun Park, Lecture Notes in Computer Science, Vol. 10946,2018
    • Forgeable quantum messages in arbitrated quantum signature schemes, Taewan Kim, Hyang-Sook Lee, Soojoon Lee, Quantum Information Processing, Vol. 16, Issue 11, 2017
    • Duplication Free Public Keys Based on SIS-Type Problems, Hyang-Sook Lee, Juhee Lee, Seongan Lim, Finite Fields and Their Applications, Vol. 48, 2017, pp.430-446
    • On Pairing Inversion of the Self-bilinear Map on Unknown Order Groups, Hyang-Sook Lee, Seongan Lim, and Ikkwon Yie, CSCML 2017, LNCS 10332, pp.86-95, 2017 
    • Security analysis of a certificateless signature from lattices, Seunghwan Chang, Hyang-Sook Lee Juhee Lee and Seongan Lim, Security and Communication Networks, Vol. 2017, Jan. 2017 
    • An Efficient Lattice Reduction Using Reuse Technique Blockwisely on NTRU, Hyang-Sook Lee, Kyungmi Chung, Seongan Lim, Discrete Applied Mathematics, Vol.214, Pages 88-98, September, 2016
    • Message Expansion of the BGN Cryptosystem Using Product Pairing (with Sookyung Eom, Seongan Lim), ETRI, Vol.38, No.1 pp.123-132, Feb. 2016
    • Families of Pairing-Friendly Elliptic Curves from a Polynomial Modification of the Dupont-Enge-Morain Method, (with Pa Ra Lee), Applied Mathematics and Information Sciences, 10, No.2, pp.571-580, 2016
    • Explicit formula for optimal ate pairing over cyclotomic family of elliptic curves, (with Hoon Hong, Eunjeong Lee), Finite Fields and Their Applications, Volume 34, 45–74, July 2015
    • A Depth Specific Description of Somewhat Homomorphic Encryption and Its Applications, (with Seongan Lim) Appl. Math. Inf. Sci. 9, No. 3, 1-9, 2015
    • Polynomial representations for n-th roots in finite fields, (with Seunghwan Chang, Bihtnara Kim), J. Korean Math. Soc. Vol. 52, No. 1, 209-224, 2015
    • Quantum signature scheme for known quantum messages, (with Taewan Kim), Physica Scripta, Vol. 90, No. 5, 2015
    • An Efficient Decoding of Goppa codes for the McEliece Cryptosystem, (with Meejin Choi, Seongan Lim), Fundamenta Informaticae Vol. 133, No. 4, 387-397, 2014
    • Polynomial Generating Pairing and its Criterion for Optimal Pairnig, (with Eunjeong Lee, Cheolmin Park) Applicable Algebra in Engineering, Communication and Computing: Volume 25, Issue 4, Page 227-247, 2014
    • Pairing Inversion via Non-degenerate Auxiliary Pairings (with Seunghwan Chang, Hoon Hong, Eunjeong Lee) Pairing-Based Cryptography – Pairing 2013, Lecture Notes in Computer Science Volume 8365, pp 77-96, 2014
    • Faster Ate Pairing Computation over Pairing Friendly Elliptic Curves using GLV Decomposition, (with Soo-Kyung Eom, Eunjeong Lee), ETRI Journal, Vol.35, No.5, pp.880-888, 2013 
    • Simple and Exact Formula for Minimum Loop Length in Atei pairing based on Brezing-Weng curves, (with Hoon Hong, Eunjeong Lee, Cheolmin Park), Design, Codes and Cryptography, Vol. 67, no. 2, pp.271-292, 2013 
    • Maximum Gap in (Inverse) Cyclotomic Polynomial, (with Hoon Hong, Eunjeong Lee, Cheolmin Park), Journal of Number Theory, Vol.132, No.100, pp.2297-2315, 2012
    • Constructing pairing-friendly curves with variable CM discriminant, (with Cheolmin Park), Bull. Korean Math. Soc. 49 (2012), No.1, pp.75-88
    • Optimal Pairing Computation over Families of Pairing-friendly Elliptic Curve, (with Soo-Kyung Eom and Cheol- Min Park), Applicable Algebra in Engineering, Communication and Computing, vol.22, no.4, pp.235-248, Nov. 2011
    • An Efficient Incomparable Public Key Encryption Scheme, (with Seongan Lim), Information Sciences, vol.181, pp.3066-3072, 2011
    • Pairing-Friendly Curves with Minimal Security Loss by Cheon's Algorithm, (with Cheol-Min Park), ETRI Journal, vol. 33, no. 4, pp.656-659, 2011
    • A Short and Efficient Redactable Signature based on RSA, (with Seongan Lim), ETRI Journal, vol.33, no.4, pp.621- 628, 2011
    • Generating pairing-friendly curves with the CM equation of degree 1, (with Cheol-Min Park), Pairing 2009, Lecture Notes in Computer Science, vol. 5671, page 66-77, 2009
    • Efficient and Generalized Pairing Computation on Abelian Varieties, (with Eunjeong Lee and Cheol-Min Park), IEEE Transactions on Information Theory, Vol.55, No.4, pp.1793-1803, 2009
    • Analysis of the Strong Instance for the Vector Decomposition Problem, (with Seran Kwon), Bulletin of KMS, Vol. 46, No.2, 2009
    • Eta pairing computation on general divisors over hyperelliptic curves y 2 = x p -x ±1 (with Eunjeong Lee and Yoonjin Lee), Journal of Symbolic Computation, Vol. 43, no. 6-7, pp 452-474, 2008
    • Eta pairing computation on general divisors over hyperelliptic curves y 2 = x 7 -x ±1 (with Eunjeong Lee and Yoonjin Lee), Pairing 2007, Lecture Notes in Computer Science, Vol. 4575, pp.349-366, 2007
    • A group key agreement protocol from pairings(with Iwan Duursma), Applied Mathematics and Computation, Vol. 167, No. 2, pp 1451-1456, 2005
    • Homotopy fixed point sets and actions on homogeneous spaces of p-compact groups (with Kenshi Ishiguro), Journal of KMS, Vol. 41, no. 6, pp. 1101-1114, 2004
    • Multi-Party Authenticated Key Agreement Protocols from Multilinear Forms (with Young- Ran Lee, Ho-Kyu Lee), Applied Mathematics and Computation, Vol. 159, no. 2, pp.317-331, 2004
    • A self pairing map and its applications to cryptography, Applied Mathematics and Computation, Vol. 151, no. 3, pp.671-678, 2004
    • Tate-pairing implementations for hyperelliptic curves y^2=x^p+x+1 (with Iwan Duursma), Advances in Cryptology-Asiacrypt 2003, Springer-Verlag, Vol. 2894, Lecture Notes in Computer Science, pp.111-123, 2003
    • The better bound of private key in RSA with unbalanced primes, (with Hyun-Soo Hong, Ho-Kyu Lee, Hee-Jung Lee), Applied Mathematics and Computation, Vol. 139, no. 2-3, pp. 351-362, 2003
    • Stable splittings of classifying spaces of 2-toral compact Lie groups, Topology and its Applications, vol. 125, no.1, pp.73-85, 2002
    • Finite generations of equivariant cohomology for p-compact group G, Bulletin of the Australian Mathematical Society, 58, no.3, 1998
    • Induced maps in Fp-homology for compact Lie group, Topology and its Applications, vol. 87, No.3, 1998
    • The stable and unstable types of classifying spaces, Canadian Mathematical Bulletins, vol. 40, No.3, 1997
    • Invariant theory over the tensor product of polynomial algebra and exterior algebra, Communications in Algebras, vol.23, 1995