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## Designs, Codes and Cryptography OnlineFirst articles

12-01-2019

09-01-2019

### Transparency order for Boolean functions: analysis and construction

The notion of transparency order, proposed by Prouff (DPA attacks and S-boxes, FSE 2005, LNCS 3557, Springer, Berlin, 2005) and then redefined by Chakraborty et al. (Des Codes Cryptogr 82:95–115, 2017), is a property that attempts to characterize …

08-01-2019

05-01-2019

### Projective Reed–Muller type codes on higher dimensional scrolls

In 1988 Lachaud introduced the class of projective Reed–Muller codes, defined by evaluating the space of homogeneous polynomials of a fixed degree d on the points of $$\mathbb {P}^n(\mathbb {F}_q)$$ P n ( F q ) . In this paper we evaluate the same …

05-01-2019

### On (t, L)-fold perfect authentication and secrecy codes with arbitration

An authentication code with arbitration is t-fold perfect if the numbers of decoding rules and encoding rules meet the information-theoretic lower bounds with equality. A code has perfect L-fold secrecy if observing a set of $$L'\le L$$ L ′ ≤ L …