Abstract: An apparatus, system and method are disclosed to block and replace intermediate combinatorial transitions that are correlated with secret data, also referred to as glitches, with random intermediate combinatorial transitions that are uncorrelated with the data being processed.

Abstract: Minimizing information leakage during modular exponentiation using random masks is disclosed Minimizing information leakage during elliptic curve point multiplication is disclosed with windowing by using point randomization is disclosed. Elliptic curve point multiplication with windowing calculates and stores multiple points based on the point being multiplied and then processes multiple bits of the multiplier at a time is also disclosed.

Abstract: An apparatus, system and method are disclosed to block and replace intermediate combinatorial transitions that are correlated with secret data, also referred to as glitches, with random intermediate combinatorial transitions that are uncorrelated with the data being processed.

Abstract: The subject invention pertains to a method and apparatus for performing computations using residue arithmetic. The subject method and apparatus can utilize logic gates for performing calculations such as multiplication by a constant, computing a number theoretic logarithm of a residue for a given base ?i and modulus pi, and computing the product of two residues, modulo pi. The use of logic gates can offer advantages when compared with the use of ROMs for table look-up functions in integrated RNS digital signal processor implementations.

Abstract: The subject invention pertains to a method and apparatus for performing computations using residue arithmetic. The subject method and apparatus can utilize logic gates for performing calculations such as multiplication by a constant, computing a number theoretic logarithm of a residue for a given base ?i and modulus pi, and computing the product of two residues, modulo pi. The use of logic gates can offer advantages when compared with the use of ROMs for table look-up functions in integrated RNS digital signal processor implementations.

Abstract: The subject invention pertains to a method and apparatus for performing computations using residue arithmetic. The subject method and apparatus can utilize logic gates for performing calculations such as multiplication by a constant, computing a number theoretic logarithm of a residue for a given base ?i and modulus pi and computing the product of two residues, modulo Pi- The use of logic gates can offer advantages when compared with the use of ROMs for table look-up functions in integrated RNS digital signal processor implementations.

Abstract: The subject invention pertains to a method and apparatus for performing computations using residue arithmetic. The subject method and apparatus can utilize logic gates for performing calculations such as multiplication by a constant, computing a number theoretic logarithm of a residue for a given base ?i and modulus pi and computing the product of two residues, modulo Pi- The use of logic gates can offer advantages when compared with the use of ROMs for table look-up functions in integrated RNS digital signal processor implementations.

Abstract: The subject invention relates to a method and apparatus for multiplication of numbers. In a specific embodiment, the subject invention can be used to perform sequential multiplication. The subject invention also pertains to a method and apparatus for modular reduction processing of a number or product of two numbers. In a specific embodiment, sequential multiplication can be incorporated to perform modular reduction processing. The subject method and apparatus can also be utilized for modular exponentiation of large numbers. In a specific embodiment, numbers larger than or equal to 2128 or even higher can be exponentiated. For example, the subject invention can be used for exponentiation of number as large as 21024, 22048, 24096, or even larger.

Abstract: The subject invention pertains to a method and apparatus for performing computations using residue arithmetic. The subject method and apparatus can utilize logic gates for performing calculations such as multiplication by a constant, computing a number theoretic logarithm of a residue for a given base ?i and modulus pi, and computing the product of two residues, modulo pi. The use of logic gates can offer advantages when compared with the use of ROMs for table look-up functions in integrated Residue Number System digital signal processor implementations.