6 papers
Perturbation of discriminant for one-dimensional discrete Schrödinger operator with sparse periodic potential
Masahiro Kaminaga
We consider the one-dimensional discrete Schrödinger operator with complex-valued sparse periodic potential. The spectrum for a complex-valued periodic potential is a complicated c…
A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators
Masahiro Kaminaga, Takuya Mine, Fumihiko Nakano
We prove the Schrödinger operator with infinitely many point interactions in is self-adjoint if the support of the interactions is decomposed into unifor…
A True Random Number Generator Method Embedded in Wireless Communication Systems
Toshinori Suzuki, Masahiro Kaminaga
To increase the number of wireless devices, e.g., mobile or IoT terminals, cryptosystems are essential for secure communications. In this regard, random number generation is crucia…
Determining the Optimal Random-padding Size for Rabin Cryptosystems
Masahiro Kaminaga, Toshinori Suzuki, Masaharu Fukase
Rabin encryption and a secure ownership transfer protocol based on the difficulty of factorization of a public key use a small public exponent. Such encryption requires random numb…
Quantum diffusion in the Kronig-Penney model
Masahiro Kaminaga, Takuya Mine
In this paper we consider the 1D Schrödinger operator with periodic point interactions. We show an bound for the time evolution operator restricted to…
Crashing Modulus Attack on Modular Squaring for Rabin Cryptosystem
Masahiro Kaminaga, Hideki Yoshikawa, Arimitsu Shikoda +1
The Rabin cryptosystem has been proposed protect the unique ID (UID) in radio-frequency identification tags. The Rabin cryptosystem is a type of lightweight public key system that…