… hash and sign signature scheme in rank-based cryptography to instantiate the IBE … rank
metric code-based signature scheme and the rank syndrome decoding, it also relies on the Rank …

… , based on the hardness of learning problems with rank metric, to design the first code-based
\… In order to prove the security of our schemes, we introduced a new problem for rank metric: …

… Actually the security of this IBE scheme does not solely rely on the rank metric code-based
signature scheme and the rank syndrome decoding, it also relies on the Rank Support …

… last public key zero-knowledge authentication schemes relying directly on random … In
this subsection, we introduce notions used hereafter and we define rank codes: codes for rank …

… algebraic rank theory named -rank theory for space–time code design. We first categorize
codes … The full space diversity rank criteria developed in this paper are for linear codes defined …

… We also derive from our algorithm a bound on the minimal rank distance of a linear code …
of using rank metric codes [Gab85] instead of Hamming metric codes in cryptographic schemes. …

… of Gabidulin code by considering isometries for the rank metric. … codes. In this section,
we recall the general principle that underlies all the existing rank encryption metric schemes…

… In Subsection II-A, we collect basic properties of sumrank codes, including … codes [34],
which is the only known general family of maximum sum-rank distance (MSRD) block codes with …

… for constructing practical rank modulation schemes. In … , then the rate of the codes obtained
from binary codes using … nonbinary codes, we design families of rank modulation codes that …

… In this paper, such network-code-independent schemes are called universal. An important
consequence of our result is that, if universal schemes are assumed, then the problem of …