منابع مشابه
Cryptographical Boolean Functions Construction from Linear Codes
This paper presents an extension of the Maiorana-McFarland method for building Boolean functions with good cryptographic properties. The original Maiorana-McFarland construction was proposed to design bent functions. Then, it was extended in [1] to build highly nonlinear resilient functions. The classical construction splits the set of variables into two separate subsets. There, is proposed a d...
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Boolean functions have important applications in cryptography and coding theory. Two famous classes of binary codes derived from Boolean functions are the Reed-Muller codes and Kerdock codes. In the past two decades, a lot of progress on the study of applications of Boolean functions in coding theory has been made. Two generic constructions of binary linear codes with Boolean functions have bee...
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Using two diierent matrix pencil descriptions two new classes of convolutional codes with designed lower free distance are introduced.
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A code C is said to be Z2Z4-additive if its coordinates can be partitioned into two subsets X and Y , in such a way that the punctured code of C obtained by removing the coordinates outside X (or, respectively, Y ) is a binary linear code (respectively, a quaternary linear code). The binary image of a Z2Z4-additive code, through the Gray map, is a Z2Z4-linear code, which is not always linear. G...
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ژورنال
عنوان ژورنال: Cryptography and Communications
سال: 2015
ISSN: 1936-2447,1936-2455
DOI: 10.1007/s12095-015-0158-1