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We prove our result by reducing ff to (a variant of) the SINK-OF-VERIFIABLE-LINE problem, which is known to imply PPAD (and in fact CLS) hardness. The main building block of our reduction is a recentl...
Fast modular squaring with AVX512IFMA     AVX512IFMA  RSA  DSA       2018/4/12
Modular exponentiation represents a signi cant workload for public key cryptosystems. Examples include not only the classical RSA, DSA, and DH algorithms, but also the partially homomorphic Paillier e...
Increasing amounts of information that needs to be protecting put in claims specific requirements for information security systems. The main goal of this paper is to find ways to increase performance ...
In this paper, a new bit-parallel Montgomery multiplier for GF(2m) is presented, where the field is generated with an irreducible trinomial. We first present a slightly generalized version of a newly...
Multi-precision squaring is a crucial operation for implementation of Elliptic Curve Cryptography. Particularly, when it comes to embedded processors, the operation should be designed carefully to e...
Since side channel analysis was introduced as a method to recover secret information from an otherwise secure cryptosystem, many countermeasures have been proposed to prevent leakage from secure devic...
Since side channel analysis was introduced as a method to recover secret information from an otherwise secure cryptosystem, many countermeasures have been proposed to prevent leakage from secure devic...
We propose new squaring formulae for cyclotomic subgroups of certain finite fields. Our formulae use a compressed representation of elements having the property that decompression can be performed at ...
In this paper, we propose a new, nonparallelizable verification-efficient client puzzle. Our puzzle is based on repeated-squaring and enables efficient verification of the puzzle solution that is r...
This paper describes an extremely efficient squaring operation in the so-called ‘cyclotomic subgroup’ of F× q6 , for q  1 mod 6. This result arises from considering the Weil restriction of scalars...
Pairing-friendly fields are finite fields that are suitable for the implementation of cryptographic bilinear pairings. In this paper we review multiplication and squaring methods for pairing-friendl...

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