Novel modulo multipliers for moduli 2^n-1, 2^n and 2^n+1.

Long word-length integer multiplication is widely acknowledged as the bottleneck operation in public key cryptographic and signal processing algorithms. Residue Number System (RNS) has emerged as a promising alternative number representation for the design of faster and low power multipliers owing t...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Ramya Muralidharan
مؤلفون آخرون: Chang Chip Hong
التنسيق: Theses and Dissertations
اللغة:English
منشور في: 2012
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/50689
الوسوم: إضافة وسم
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الوصف
الملخص:Long word-length integer multiplication is widely acknowledged as the bottleneck operation in public key cryptographic and signal processing algorithms. Residue Number System (RNS) has emerged as a promising alternative number representation for the design of faster and low power multipliers owing to its merit to distribute a long integer multiplication into several shorter and parallel modulo multiplications. To maximize the advantages offered by the RNS multiplier, judicious choice of moduli that constitute the RNS base and design of efficient modulo multipliers are imperative. In this thesis, special modulo 2^n-1, modulo 2^n and modulo 2^n+1 multipliers are studied. By manipulating the number theoretic properties of special moduli, 2^n-1, 2^n and 2^n+1, new low-power and low-area modulo multipliers are proposed.