What does ECM stand for?

The impact of the elliptic curve method for integer factorisation (developed by my PhD advisor Hendrik Lenstra) has played a role in introducing elliptic curves to cryptographers, albeit for attacking the underlying problem on which RSA is based (the difficulty of factoring integers)," said David Kohel, convenor of the ESF workshop, from the Institut de Mathematiques de Luminy in Marseille, France.

The international contributors propose a hardware architecture for generating random vectors, a library and platform for FPGA bitstream manipulation, a reconfigurable transactional memory, integer factorization based on the elliptic curve method, and automatic on-chip memory minimization for data reuse.

Some specific topics include FPGA particle graphics hardware, hardware factorization based on the elliptic curve method, higher radix floating-point representations for FPGA-based arithmetic, and interleaving behavioral and cycle-accurate descriptions for reconfigurable hardware compilation.