NEW CONSTRUCTIONS OF VECTORIAL BOOLEAN FUNCTIONS WITH GOOD CRYPTOGRAPHIC PROPERTIES
2012 ◽
Vol 23
(03)
◽
pp. 749-760
Keyword(s):
Vectorial Boolean functions play an important role in cryptography. How to construct vectorial Boolean functions with good cryptographic properties is a nice problem that worth to be investigated. In this paper we present several constructions of balanced vectorial Boolean functions with high algebraic immunity, high(or optimum) algebraic degree, and very high nonlinearity. In some cases, the constructed functions also achieve optimum algebraic immunity.
2014 ◽
Vol 167
◽
pp. 25-32
◽
Keyword(s):
2020 ◽
Vol 17
(7)
◽
pp. 639-654
2013 ◽
Vol 5
(2)
◽
pp. 419-428
2011 ◽
Vol 22
(06)
◽
pp. 1271-1282
◽
2016 ◽
Vol 10
(2)
◽
pp. 257-263
2007 ◽
Vol E90-A
(1)
◽
pp. 29-35
◽
2012 ◽
Vol 89
(10)
◽
pp. 1319-1331
◽
2002 ◽
Vol 48
(7)
◽
pp. 1825-1834
◽
2013 ◽
Vol 774-776
◽
pp. 1721-1724
Keyword(s):