Sharp estimates for triangular sets. - Xavier Dahan; Éric Schost (ISSAC, 2004)

Lifting techniques for triangular decompositions. - Xavier Dahan; Marc Moreno Maza; Éric Schost; Wenyuan Wu; Yuzhen Xie (ISSAC, 2005)

On the complexity of the D5 principle. - Xavier Dahan; Éric Schost; Marc Moreno Maza; Wenyuan Wu; Yuzhen Xie (SIGSAM Bull., 2005)

Complexity of polynomial systems representations: triangulation, modular methods, dynamic evaluation. (Complexité des représentations des systèmes de polynômes : triangulation, méthodes modulaires, évaluation dynamique). - Xavier Dahan (2006)

Change of order for regular chains in positive dimension. - Xavier Dahan; Xin Jin; Marc Moreno Maza; Éric Schost (Theor. Comput. Sci., 2008)

Size of coefficients of lexicographical Groöbner bases: the zero-dimensional, radical and bivariate case. - Xavier Dahan (ISSAC, 2009)

Evaluation properties of invariant polynomials. - Xavier Dahan; Éric Schost; Jie Wu 015 (J. Symb. Comput., 2009)

Almost linear time operations with triangular sets. - Xavier Dahan; Marc Moreno Maza; Éric Schost; Adrien Poteaux (ACM Commun. Comput. Algebra, 2010)

Structure of lexicographic Groebner bases in three variables of ideals of dimension zero - Xavier Dahan (CoRR, 2011)

On the structure of lexicographic Gröbner bases in dimension zero. - Xavier Dahan (ACM Commun. Comput. Algebra, 2012)

Bit-size estimates for triangular sets in positive dimension. - Xavier Dahan; Abdulilah Kadri; Éric Schost (J. Complex., 2012)

Regular graphs of large girth and arbitrary degree. - Xavier Dahan (Comb., 2014)

A multivariate quadratic challenge toward post-quantum generation cryptography. - Takanori Yasuda; Xavier Dahan; Yun-Ju Huang; Tsuyoshi Takagi; Kouichi Sakurai (ACM Commun. Comput. Algebra, 2015)

MQ Challenge: Hardness Evaluation of Solving Multivariate Quadratic Problems. - Takanori Yasuda; Xavier Dahan; Yun-Ju Huang; Tsuyoshi Takagi; Kouichi Sakurai (IACR Cryptol. ePrint Arch., 2015)

Characterizing NTRU-Variants Using Group Ring and Evaluating their Lattice Security. - Takanori Yasuda; Xavier Dahan; Kouichi Sakurai (IACR Cryptol. ePrint Arch., 2015)

Bit-size reduction of triangular sets in two and three variables. - Tetsuro Yamashita; Xavier Dahan (SCSS, 2016)

Gcd Modulo a Primary Triangular Set of Dimension Zero. - Xavier Dahan (ISSAC, 2017)

On the Bit-Size of Non-radical Triangular Sets. - Xavier Dahan (MACIS, 2017)

Computation of gcd chain over the power of an irreducible polynomial. - Xavier Dahan (CoRR, 2018)

On a non-archimedean broyden method. - Xavier Dahan; Tristan Vaccon (ISSAC, 2020)

Lexicographic Groebner bases of bivariate polynomials modulo a univariate one. - Xavier Dahan (CoRR, 2020)

Lexicographic Gröbner bases of bivariate polynomials modulo a univariate one. - Xavier Dahan (J. Symb. Comput., 2022)

Chinese Remainder Theorem for bivariate lexicographic Gröbner bases. - Xavier Dahan (ISSAC, 2023)

Faster bivariate lexicographic Groebner bases modulo xk. - Xavier Dahan (SCSS (Work in Progress), 2024)