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We describe an elliptic curve encryption scheme, PSEC (provably secure elliptic curve encryption scheme), which has three versions: PSEC-1, PSEC-2 and PSEC-3. PSEC-1 is a public-key encryption system that uses the elliptic curve ElGamal trapdoor function and a random function (hash function). PSEC-2 and PSEC-3 are public-key encryption systems that use the(More)
Investigation of the relationship between visual search (eye movement) and walking (head and body movement) during way-finding through a maze by each of 6 subject pedestrians who wore an eye camera showed patterns of sight lin, head movement, body movement, and changes of coordination between eye-head-body movement during the process of comprehension of the(More)
We describe a novel public-key cryptosystem, EPOC (Ecient Probabilistic Public-Key Encryption), which has three versions: EPOC-1, EPOC-2 and EPOC-3. EPOC-1 is a public-key encryption system that uses a one-way trapdoor function and a random function (hash function). EPOC-2 and EPOC-3 are public-key encryption systems that use a one-way trapdoor function,(More)
This thesis deals with two unrelated problems. In Chapter 1, we examine permutations with restricted positions according to cycle type. R. Stanley and J. Stembridge developed this theory and defined "cycle indicators" to attack some conjectures about immanants of the Jacobi-Trudi matrix. They also proved a general formula for computing these cycle(More)
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