Invertibility of finite group homomorphic sequential systems
نویسندگان
چکیده
منابع مشابه
Invertibility of Finite Group Homomorphic Sequential Systems
T h e question of invertibil i ty of a dynamical system-i .e . , when does the output sequence (function) uniquely determine the input sequence ( funct ion)--has received a good deal of attention in the literature and has applications to problems in coding theory and functional controllabili ty (the dual of invertibility). Massey and Sain (1968), Sain and Massey (1969), Brockett and Mesarovic (...
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Group Homomorphic Encryption (GHE), formally defined by Armknecht, Katzenbeisser and Peter, is a public-key encryption primitive where the decryption algorithm is a group homomorphism. Hence it suports homomorphic evaluation of a single algebraic operation such as modular addition or modular multiplication. Most classical homomorphic encryption schemes such as as Goldwasser-Micali and Paillier ...
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Conjecture 1 (A. Potapchik and A. Rapinchuk). Let D be a finite dimensional division algebra over an arbitrary field. Then D# does not have any normal subgroup N such that D#/N is a nonabelian finite simple group. Of course D# is the multiplicative group of D. Conjecture 1 appears in [4]. It is related to the following conjecture of G. Margulis and V. Platonov (Conjectures 9.1 and 9.2, pages 51...
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ژورنال
عنوان ژورنال: Information and Control
سال: 1975
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(75)90113-8