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6

If I understand your question correctly, you are essentially asking if points in Edwards and Montgomery curves can be represented in Weierstrass coordinates. This is true; in fact, any elliptic curve over a prime field can be represented in Weierstrass form $\mathcal{E}_{w}^{a, b} : y^2 = x^3 + ax + b$, and by extension its points can too. The question, ...

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Your idea seems secure, but it is more complicated than it needs to be. If you only need to know if the "secure information" in the document matches some public information (stored on an insecure computer), it is enough to calculate a preimage resistant hash of the document (e.g. SHA-256). The document needs only to be unguessable, like a 256-bit random ...

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We have used FPGA for HDCP (This is cryptographic content protection protocol), where it is required to encrypt / decrypt 8Gbps in real time. This cannot be done in this data rate by regular software means.

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For what kind of "concrete" application should we implement cryptographic algorithms on FPGA? Which secured application require such a huge data processing performance ? Well, FPGAs are ideal for a wide variety of applications, from high-volume applications to state-of-the-art products. Imagine you are… a bank, or a Big Data service provider, or a ...

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FPGA implementations give you a cryptographic coprocessor in a small/embedded device without its own CPU. They would be ideal in applications such as smart meters or other "internet of things" devices. Among other things they can function as hardware security modules, where keys are generated in the device and never leave it. Encrypted USB sticks and hard ...

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Here is one example: COPACOBANA A Codebreaker for DES and other Ciphers COPACOBANA, the Cost-Optimized Parallel COde Breaker, is an FPGA-based machine which is optimized for running cryptanalytical algorithms. COPACOBANA is suitable for parallel computation problems which have low communication requirements. DES cracking is such a ...

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