On Nonlinear Polynomial Selection and Geometric Progression (mod N) for Number Field Sieve. - Namhun Koo; Gooc Hwa Jo; Soonhak Kwon (IACR Cryptol. ePrint Arch., 2011)

New Cube Root Algorithm Based on Third Order Linear Recurrence Relation in Finite Field. - Gook Hwa Cho; Namhun Koo; Eunhye Ha; Soonhak Kwon (IACR Cryptol. ePrint Arch., 2013)

Trace Expression of r-th Root over Finite Field. - Gook Hwa Cho; Namhun Koo; Eunhye Ha; Soonhak Kwon (IACR Cryptol. ePrint Arch., 2013)

Square Root Algorithm in Fq for q≡2s+1 (mod 2s+1). - Namhun Koo; Gook Hwa Cho; Soonhak Kwon (IACR Cryptol. ePrint Arch., 2013)

Remarks on the Pocklington and Padró-Sáez Cube Root Algorithm in 𝔽q. - Geon Heo; Seokhwan Choi; Kwang Ho Lee; Namhun Koo; Soonhak Kwon (IACR Cryptol. ePrint Arch., 2014)

An Improvement of the Cipolla-Lehmer Type Algorithms. - Namhun Koo; Gook Hwa Cho; Byeonghwan Go; Soonhak Kwon (CoRR, 2015)

New cube root algorithm based on the third order linear recurrence relations in finite fields. - Gook Hwa Cho; Namhun Koo; Eunhye Ha; Soonhak Kwon (Des. Codes Cryptogr., 2015)

On r-th Root Extraction Algorithm in 𝔽q for q≍lrs+1;(mod; rs+1) with 0<l<r and Small s. - Namhun Koo; Gook Hwa Cho; Soonhak Kwon (IEEE Trans. Computers, 2016)

An Existential Unforgeable Signature Scheme Based on Multivariate Quadratic Equations. - Kyung-Ah Shim; Cheol-Min Park; Namhun Koo (ASIACRYPT (1), 2017)

Security Analysis of Improved Cubic UOV Signature Schemes. - Kyung-Ah Shim; Namhun Koo; Cheol-Min Park (ICISC, 2017)

Cryptanalysis of RGB, a mixed multivariate signature scheme. - Kyung-Ah Shim; Cheol-Min Park; Namhun Koo (Finite Fields Their Appl., 2017)

Side-Channel Attacks on Post-Quantum Signature Schemes based on Multivariate Quadratic Equations - Rainbow and UOV -. - Aesun Park; Kyung-Ah Shim; Namhun Koo; Dong-Guk Han (IACR Trans. Cryptogr. Hardw. Embed. Syst., 2018)

On the Cipolla-Lehmer type algorithms in finite fields. - Gook Hwa Cho; Byeonghwan Go; Chang Heon Kim; Namhun Koo; Soonhak Kwon (Appl. Algebra Eng. Commun. Comput., 2019)

On cryptographic parameters of permutation polynomials of the form xrh(x(q-1)/d). - Jaeseong Jeong; Chang Heon Kim; Namhun Koo; Soonhak Kwon; Sumin Lee (IACR Cryptol. ePrint Arch., 2019)

An Efficient MQ-Signature Scheme Based on Sparse Polynomials. - Kyung-Ah Shim; Cheol-Min Park; Namhun Koo (IEEE Access, 2020)

A High-Speed Public-Key Signature Scheme for 8-b IoT-Constrained Devices. - Kyung-Ah Shim; Cheol-Min Park; Namhun Koo; Hwajeong Seo (IEEE Internet Things J., 2020)

Algebraic Fault Analysis of UOV and Rainbow With the Leakage of Random Vinegar Values. - Kyung-Ah Shim; Namhun Koo (IEEE Trans. Inf. Forensics Secur., 2020)

Investigations of c-Differential Uniformity of Permutations with Carlitz Rank 3. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (CoRR, 2022)

On non-monimial APcN permutations over finite fields of even characteristic. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (CoRR, 2022)

New differentially 4-uniform permutations from modifications of the inverse function. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Finite Fields Their Appl., 2022)

Constructing differentially 4-uniform involutions over F22k by using Carlitz form. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Finite Fields Their Appl., 2022)

On the boomerang uniformity of permutations of low Carlitz rank. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Finite Fields Their Appl., 2022)

Efficient Implementations of Rainbow and UOV using AVX2. - Kyung-Ah Shim; Sangyub Lee 002; Namhun Koo (IACR Trans. Cryptogr. Hardw. Embed. Syst., 2022)

On Cryptographic Parameters of Permutation Polynomials of the form xrh(x(2n-1)/d). - Jaeseong Jeong; Chang Heon Kim; Namhun Koo; Soonhak Kwon; Sumin Lee (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2022)

cc-differential uniformity, (almost) perfect cc-nonlinearity, and equivalences. - Nhan-Phu Chung; Jaeseong Jeong; Namhun Koo; Soonhak Kwon (CoRR, 2023)

On the Functions Which are CCZ-equivalent but not EA-equivalent to Quadratic Functions over Fpn. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (CoRR, 2023)

On non-monomial APcN permutations over finite fields of even characteristic. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Finite Fields Their Appl., 2023)

Investigations of c-differential uniformity of permutations with Carlitz rank 3. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Finite Fields Their Appl., 2023)

Low c-differential uniformity of the swapped inverse function in odd characteristic. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Discret. Appl. Math., 2023)

Security Analysis of Reusing Vinegar Values in UOV Signature Scheme. - Namhun Koo; Kyung-Ah Shim (IEEE Access, 2024)

The second-order zero differential uniformity of the swapped inverse functions over finite fields. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (CoRR, 2024)

On the functions which are CCZ-equivalent but not EA-equivalent to quadratic functions over Fpn. - Jaeseong Jeong; Namhun Koo; Soonhak Kwon (Finite Fields Their Appl., 2025)

On Differential and Boomerang Properties of a Class of Binomials over Finite Fields of Odd Characteristic. - Namhun Koo; Soonhak Kwon (CoRR, 2025)