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Group Testing Theory In Network Security: An Advanced Solution (SpringerBriefs In Optimization)

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We have a dedicated site for Germany. Group Testing Theory in Network Security explores a new branch of group testing theory with an application which enhances research results in network security. This brief presents new solutions on several advanced network security problems and mathematical frameworks based on the group testing theory, specifically denial-of-service and jamming attacks. A new application of group testing, illustrated in this text, requires additional theories, such as size constraint group testing and connected group testing.

Included in this text is a chapter devoted to discussing open problems and suggesting new solutions for various network security problems. This text also exemplifies the connection between mathematical approaches and practical applications to group testing theory in network security. Whether malicious or mistaken, cyber events put worker safety at risk, shut down production, disrupt public utility services and erase profits. The lesson? Start now.

Award Winning Security to protect your clients from cyber attack

Start with your most critical assets. Start with auditing where you are today. Start by aligning your IT and OT protocols. The convergence of IT and operational technology OT has now come into popular awareness as the lines between the Internet of Things IoT and the Industrial Internet of Things IIoT have blurred and the media have given increased coverage to security breaches and their impacts".

Traditionally, industrial enterprises kept everything separate. The Information Technology IT group managed the office network where the environment was mild, internet speed was important and security of confidential information was the biggest concern. Meanwhile, down in the plant, the Operations Technology OT team faced harsh environmental conditions with a closed, air-gapped network.

Chinese Remainder Theorem - Cryptography And Network Security

Their primary object was simply to keep production running — safely. A look at IT and OT priorities would look something like the image to the right.

Web Communication: Cryptography and Network Security

Ensuring a secure and reliable industrial infrastructure in light of new cybersecurity threats. IT and OT professionals come from different backgrounds with different priority orders , yet they want the same thing: a reliable and secure manufacturing environment. Now that OT systems are internet protocol IP enabled, there is increased risk for intentional and accidental harm. Recent examples of malware and malicious computer worm attacks include Stuxnet and Triton. Auditing all of the equipment connected to the network, mapping how the equipment is connected, reviewing the security configuration of equipment, and assessing potential system vulnerabilities.

Grouping devices that have a similar function within the industrial process into the same trust boundary or zone, conduits between zones are properly protected. Monitoring the network activity to detect potential threats and identify abnormal or potentially malicious behaviors. Implementing industrial firewalls that can perform deep packet inspection against the industrial protocol to block traffic that is trying to use the protocol in unintended ways.

Now, more devices on the plant floor need to be connected to the Internet. Remote locations must be managed from one central location.


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Executives in the office demand data to manage plant maintenance, upgrades, output quantity and quality and inventory levels. That means blurry — or nonexistent — lines between IT and OT roles and responsibilities. The network of the future will be unified to serve both worlds. Merging the automation networks of the factory OT with the data exchange office network IT requires intentional actions. Here are a few steps to get you started. All from one vendor with the brands proven to improve your security posture. Learn More. Check out our newest blog series where we sit down with Tripwire in-house experts to provide you with a more personal view on the current state of cybersecurity in the industrial environment.

Nonetheless, good modern ciphers have stayed ahead of cryptanalysis; it is typically the case that use of a quality cipher is very efficient i. Cryptanalysis of the new mechanical devices proved to be both difficult and laborious. In the United Kingdom, cryptanalytic efforts at Bletchley Park during WWII spurred the development of more efficient means for carrying out repetitious tasks.

Extensive open academic research into cryptography is relatively recent; it began only in the mid's.

Group Testing Theory In Network Security: An Advanced Solution (SpringerBriefs In Optimization)

In recent times, IBM personnel designed the algorithm that became the Federal i. Following their work in , it became popular to consider cryptography systems based on mathematical problems that are easy to state but have been found difficult to solve. Some modern cryptographic techniques can only keep their keys secret if certain mathematical problems are intractable , such as the integer factorization or the discrete logarithm problems, so there are deep connections with abstract mathematics.

There are very few cryptosystems that are proven to be unconditionally secure. The one-time pad is one, and was proven to be so by Claude Shannon.


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There are a few important algorithms that have been proven secure under certain assumptions. For example, the infeasibility of factoring extremely large integers is the basis for believing that RSA is secure, and some other systems, but even so proof of unbreakability is unavailable since the underlying mathematical problem remains open. In practice, these are widely used, and are believed unbreakable in practice by most competent observers. The discrete logarithm problem is the basis for believing some other cryptosystems are secure, and again, there are related, less practical systems that are provably secure relative to the solvability or insolvability discrete log problem.

As well as being aware of cryptographic history, cryptographic algorithm and system designers must also sensibly consider probable future developments while working on their designs. For instance, continuous improvements in computer processing power have increased the scope of brute-force attacks , so when specifying key lengths , the required key lengths are similarly advancing. The modern field of cryptography can be divided into several areas of study. The chief ones are discussed here; see Topics in Cryptography for more. Symmetric-key cryptography refers to encryption methods in which both the sender and receiver share the same key or, less commonly, in which their keys are different, but related in an easily computable way.

This was the only kind of encryption publicly known until June Symmetric key ciphers are implemented as either block ciphers or stream ciphers.

A block cipher enciphers input in blocks of plaintext as opposed to individual characters, the input form used by a stream cipher. Many, even some designed by capable practitioners, have been thoroughly broken, such as FEAL. Stream ciphers, in contrast to the 'block' type, create an arbitrarily long stream of key material, which is combined with the plaintext bit-by-bit or character-by-character, somewhat like the one-time pad. In a stream cipher, the output stream is created based on a hidden internal state that changes as the cipher operates. That internal state is initially set up using the secret key material.

RC4 is a widely used stream cipher; see Category:Stream ciphers. Cryptographic hash functions are a third type of cryptographic algorithm. They take a message of any length as input, and output a short, fixed length hash , which can be used in for example a digital signature. For good hash functions, an attacker cannot find two messages that produce the same hash. MD4 is a long-used hash function that is now broken; MD5 , a strengthened variant of MD4, is also widely used but broken in practice.

The US National Security Agency developed the Secure Hash Algorithm series of MD5-like hash functions: SHA-0 was a flawed algorithm that the agency withdrew; SHA-1 is widely deployed and more secure than MD5, but cryptanalysts have identified attacks against it; the SHA-2 family improves on SHA-1, but is vulnerable to clashes as of ; and the US standards authority thought it "prudent" from a security perspective to develop a new standard to "significantly improve the robustness of NIST 's overall hash algorithm toolkit. Cryptographic hash functions are used to verify the authenticity of data retrieved from an untrusted source or to add a layer of security.

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Message authentication codes MACs are much like cryptographic hash functions, except that a secret key can be used to authenticate the hash value upon receipt; [4] this additional complication blocks an attack scheme against bare digest algorithms , and so has been thought worth the effort. Symmetric-key cryptosystems use the same key for encryption and decryption of a message, although a message or group of messages can have a different key than others. A significant disadvantage of symmetric ciphers is the key management necessary to use them securely.

Each distinct pair of communicating parties must, ideally, share a different key, and perhaps for each ciphertext exchanged as well. The number of keys required increases as the square of the number of network members, which very quickly requires complex key management schemes to keep them all consistent and secret. In a groundbreaking paper, Whitfield Diffie and Martin Hellman proposed the notion of public-key also, more generally, called asymmetric key cryptography in which two different but mathematically related keys are used—a public key and a private key.

Instead, both keys are generated secretly, as an interrelated pair.