Solving sparse linear equations over finite fields
IEEE Transactions on Information Theory
Factoring polynomials over finite fields using differential equations and normal bases
Mathematics of Computation
On a new factorization algorithm for polynomials over finite fields
Mathematics of Computation
Comparative implementations of Berlekamp's and Niederreiter's polynomial factorization algorithms
FFA '95 Proceedings of the third international conference on Finite fields and applications
Factoring high-degree polynomials over f2 with Niederreiter's algorithm on the IBM SP2
Mathematics of Computation
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
On Wiedemann's Method of Solving Sparse Linear Systems
AAECC-9 Proceedings of the 9th International Symposium, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
The black-box Niederreiter algorithm and its implementation over the binary field
Mathematics of Computation
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In this paper, we explicitly obtain the coefficient matrix arising from a linearization of Niederreiter's factorization algorithm and analyze the complexity of setting it up. It turns out that its setup cost is linear both in the degree of a polynomial to be factored and in the size of the base field.