Title :
Fourier spectrum of optimal Boolean functions via Kasami´s identities
Author :
Canteaut, Anne ; Carlet, Claude ; Charpin, Pascale ; Fontaine, Caroline
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
We introduce a new approach for the study of weight distributions of cosets of the Reed-Muller code of order 1. We next examine the impact of our results when some cryptographic criteria of Boolean functions are considered
Keywords :
Boolean functions; Fourier analysis; Reed-Muller codes; cryptography; Fourier spectrum; Kasami´s identities; Reed-Muller code; cosets; cryptographic criteria; optimal Boolean functions; weight distributions; Application software; Boolean functions; Computer science; Cryptography; Fourier transforms; Linear code; Mathematics;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866478
