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- Title
Linear codes from vectorial Boolean functions in the context of algebraic attacks.
- Authors
Boumezbeur, M.; Mesnager, S.; Guenda, K.
- Abstract
In this paper, we study the relationship between vectorial (Boolean) functions and cyclic codes in the context of algebraic attacks. We first derive a direct link between the annihilators of a vectorial function (in univariate form) and certain 2 n -ary cyclic codes (which we show that they are LCD codes). We also present some properties of those cyclic codes as well as their weight enumerator. In addition, we generalize the so-called algebraic complement and study its properties.
- Subjects
LINEAR codes; BOOLEAN functions; ALGEBRAIC functions; CYCLIC codes; ALGEBRAIC codes
- Publication
Discrete Mathematics, Algorithms & Applications, 2021, Vol 13, Issue 3, pN.PAG
- ISSN
1793-8309
- Publication type
Article
- DOI
10.1142/S1793830921500324