Cryptographic researchers have finally cracked a 51-year-old code left by the Zodiac, a serial killer who terrorized Northern California in the late 1960s and early 1970s. Much of the work of cracking the code was done in Mathematica, the statistics package from Wolfram.
License keys are the defacto-standard as an anti-piracy measure. To be honest, this strikes me as (in)Security Through Obscurity, although I really have no idea how license keys are generated. What is a good (secure) example of license key generation What cryptographic primitive (if any) are they using Is it a message digest If so, what data would they be hashing What methods do developers employ to make it difficult for crackers to build their own key generators How are key generators made
A good software license key/serial number generator consists of more than just a string of random characters or a value from some curve generator. Using a limited alphanumeric alphabet, data can be embedded into a short string (e.g. XXXX-XXXX-XXXX-XXXX) that includes all kinds of useful information such as:
Writing a keygen is a matter of knowing what a license key consists of and then producing the same output that the original key generator produces. If the algorithm for license key verification is included in and used by the software, then it is just a matter of creating software that does the reverse of the verification process.
However, despite being broken up into steps, this falls prey to the same methods of cracking used for the normal process. The process used to create an activation key that is checked against the original CD key was quickly discovered, and generators that incorporate both of the keys were made.
EDIT:To clarify this answer a bit regarding the comments on it: @Ian_Fin gave a suggestion on how to improve the situation that can be one way to approach it. But even if one brings it to the attention of the department it might not improve at all or not very soon. I personally think it is unlikely that the department does not know about this issue and if they have not done something about it once they introduced that course I personally do not think they will do something now. The last sentence is my intuition to that case and might be completely wrong. I am just saying: Wolfram has means to detect this and if a big group uses a crack from one location (maybe even the same serial/registration) it becomes easier for them to detect and it is a bigger issue to them than one single instance.
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Generation of random numbers is a central problem for many applications in the field of information processing, including, e.g., cryptography, in classical and quantum regime, but also mathematical modeling, Monte Carlo methods, gambling and many others. Both, the quality of the randomness and efficiency of the random numbers generation process are crucial for the most of these applications. Software produced pseudorandom bit sequences, though sufficiently quick, do not fulfill required randomness quality demands. Hence, the physical hardware methods are intensively developed to generate truly random number sequences for information processing and electronic security application. In the present paper we discuss the idea of the quantum random number generators. We also present a variety of tests utilized to assess the quality of randomness of generated bit sequences. In the experimental part we apply such tests to assess and compare two quantum random number generators, PQ4000KSI (of company ComScire US) and JUR01 (constructed in Wroclaw University of Science and Technology upon the project of The National Center for Research and Development) as well as a pseudorandom generator from the Mathematica Wolfram package. Finally, we present our new prototype of fully operative miniaturized quantum random generator JUR02 producing a random bit sequence with velocity of 1 Mb/s, which successfully passed standard tests of randomness quality (like NIST and Dieharder tests). We also shortly discuss our former concept of an entanglement-based quantum random number generator protocol with unconditionally secure public randomness verification.
Dual EC DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) was used for this, a PRNG created and strongly pushed as a standard by the NSA. Only in 2013 it turned out that the NSA was the only one to have a backdoor for this generator and thanks to this the NSA was able to crack the cryptographic keys that had been generated using these generators. Upon disclosure, RSA Security and the US National Institute of Standards and Technology (NIST) instructed not to use the Dual EC DRBG generator.
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