Sharif Digital Repository

Elliptic curve cryptography (ECC) has received attention because it can achieve the same security level as other classical asymmetric methods while using a key with smaller length. Although ECC is more efficient compared to AlGemal and RSA cryptosystems, fast computation of ECC is always desirable. Point multiplication is an essential operation in cryptographic computations. Low-latency and low-complexity multiplication architectures lead to more efficient cryptosystems.In this thesis, a fixed-base comb point multiplication method has been used to perform regular point multiplication. Additionally, two low-complexity (LC) and low-latency (LL) architectures for the regular point... 

Elliptic curve cryptography (ECC) has received attention because it can achieve a security level similar to other asymmetric methods while using a key with smaller length. Although ECC is more efficient compared to other asymmetric methods, fast computation of ECC is always desirable. In this thesis,a fixed-base comb point multiplication method has been modified to perform regular point multiplication. Additionally, two low-complexity and lowlatency architectures for the modified point multiplication algorithm has been proposed. In order to achieve these architectures, a low-latency pipelined digit-level field multiplier for all national institute of standards and technology (NIST)... 

Usually the structures are designed based on the fixed-base assumption; however this assumption is not always correct and the bed flexibility should be considered. This effect which is called soil-structure interaction, change the response of structure on both elastic and inelastic behavior. In the regulations for the design of structures on flexible base, generallysoil-structure system is replaced with an equivalent fixed base structure; in the way that the design force of soil-structure system with reasonable accuracy can be estimated by equivalent fixed-base structure. In some regulations, dynamic characteristics of equivalent structure have been determined on elastic state and the... 

Elliptic curve cryptography (ECC) has received attention because it can achieve a security level similar to other asymmetric methods while using a key with smaller length. Although ECC is more efficient compared to other asymmetric methods, fast computation of ECC is always desirable. In this thesis, a fixed-base comb point multiplication method has been modified to perform regular point multiplication. Additionally, two low-complexity and lowlatency architectures for the modified point multiplication algorithm has been proposed. In order to achieve these architectures, a low-latency pipelined digit-level field multiplier for all national institute of standards and technology (NIST)... 

Usually the structures are designed based on the fixed-base assumption; however thisassumption is not always correct and the bed flexibility should be considered. This effectwhich is called soil-structure interaction, change the response of structure on both elasticand inelastic behavior. In the regulations for the design of structures on flexible base,generally soil-structure system is replaced with an equivalent fixed base structure; in theway that the design force of soil-structure system with reasonable accuracy can beestimated by equivalent fixed-base structure. In some regulations, dynamic characteristicsof equivalent structure have been determined on elastic state and the results have...