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In the article we propose a new compression method (to 2log2(p)+32log2⁡(p)+3 bits) for the Fp2Fp2-points of an elliptic curve Eb:y2=x3+bEb:y2=x3+b (for b∈F∗p2b∈Fp2∗) of jj-invariant ...
On NIST's Compression Estimate Test     IID  Non-IID  Min Entropy       2019/8/27
In this paper we present our observations about NIST's Compression estimate test given in SP-800 90B. We observe that steps 4 and 7 of the test may be re-framed to gain efficiency. Based on our observ...
Whereas it is widely deemed impossible to overcome the optimality of the one-time pad (OTP) cipher in pre- and post-quantum cryptography, this work shows that the optimality of information theoretic s...
Current blockchains are restricted by the low throughput. Aimed at this problem, we propose Txilm, a protocol that compresses the size of transaction presentation in each block and thus saves the band...
The isogeny-based protocols SIDH and SIKE have received much attention for being post-quantum key agreement candidates that retain relatively small keys. A recent line of work has proposed and further...
In this work, we study the fascinating notion of output-compressing randomized encodings for Turing Machines, in a shared randomness model. In this model, the encoder and decoder have access to a shar...
We formalize the notion of a constrained linear trapdoor as an abstract strategy for the generation of signature schemes, concrete instantiations of which can be found in MQ-based, code-based, and lat...
We point out an implicit unproven assumption underlying the security of rational proofs of storage that is related to a concept we call weak randomized compression.
Lookup-table based side-channel countermeasure is the prime choice for masked S-box software implementations at very low orders. To mask an nn-bit to mm-bit S-box at first- and second- orders, one req...
We propose two optimal representations for the elements of trace zero subgroups of twisted Edwards curves. For both representations, we provide efficient compression and decompression algorithms. The ...
This paper is devoted to the study of the problem of running compression algorithms in the encrypted domain, using a (somewhat) Fully Homomorphic Encryption (FHE) scheme. We do so with a particular fo...
Following the framework of Harnik and Naor, we introduce the notion of tailored instance compression to capture the essence of the known one-more like assumptions, which provides new insight into the ...
Supersingular isogeny Diffie-Hellman (SIDH) is an attractive candidate for post-quantum key exchange, in large part due to its relatively small public key sizes. A recent paper by Azarderakhsh, Jao, K...
Some lattice-based public key cryptosystems allow one to transform ciphertext from one lattice or ring representation to another efficiently and without knowledge of public and private keys. In this w...
We discuss a tweak for the domain extension called Merkle-Damg錼d with Permutation (MDP), which was presented at ASIACRYPT 2007. We first show that MDP may produce multiple independent pseudorandom fun...

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