Variable Length Hash Algorithm Using RC6

Variable Length Hash Algorithm Using RC6 Hash_RC6 Variable Length Hash Algorithm using RC6 Kirti Aggarwal Dr. Harsh K. Verma ABSTRACT In this paper, we present a hash algorithm using RC6 that can generate hash value of variable length. Hash algorithms play major part in cryptographic security as these algorithms are used to check the integrity of the received message. It is possible to generate hash algorithm using symmetric block cipher. The main idea behind this is that if the symmetric block algorithm is secure then the generated hash function will also be secure [1]. As RC6 is secure against various linear and differential attacks algorithm presented here will also be secure against these attack. The algorithm presented here can have variable number of rounds to generate hash value. It can also have variable block size. Keywords:  Cryptography, Symmetric Encryption, Asymmetric Encryption, Data Integrity, Authentication, Confidentiality, Non-Repudiation, Access Control, Hash, RC6 INTRODUCTION Cryptography is the ability of keeping message secure form others while sending information between participants (Confidentiality). There are many cryptographic algorithms categorized as symmetric encryption algorithm and asymmetric encryption algorithm. Symmetric encryption algorithm is the one that use same shared key from encryption and decryption, while asymmetric algorithm is the one that use different keys from encryption and decryption. With the Confidentiality cryptography also provide other services known as data integrity, authentication, non-repudiation, access control etc. Data Integrity is assuring that data received is same as sent by the sender. Authentication is the ability to assure that communicating party is who that it claims to be. Non-Repudiation is the prevention against the denial by entities involved in the communication. Access Control is the prevention against the unauthorized use of resources [2]. Figure 1. Fundamental of Cryptography Hash Function A cryptographic hash function is any algorithm or subroutine that maps large data sets of variable length to smaller data sets of a fixed length. The values returned by a hash function are called hash values, hash codes, hash sums, checksums or simply hashes. Where h has fixed length. An (accidental or intentional) change to the data will (with very high probability) change the hash value. For a hash function to be considered secure, it must be computationally infeasible to find has a predefined hash value and similarly it must be computationally infeasible to find two messages having same hash value. RC6 RC6 is a symmetric block cipher based on RC5 and designed by Rivest, Sydney, and Yin for RSA security [3]. Like RC5, RC6 is a parameterized algorithm where the block size, the key size, and the number of rounds are variable; again, the upper limit on the key size is 2040 bits [4]. RC6 was designed to meet the requirements of the Advanced Encryption Standard (AES)competition. RC6 proper has ablock sizeof 128 bits and supportskey sizesof 128, 192 and 256 bits, but, like RC5. RC6 can be viewed as interweaving two parallel RC5 encryption processes. It uses an extra multiplication operation not present in RC5 in order to make the rotation dependent on every bit in a word. SHA-256 SHA-256 operates on eight 32-bit words. The message to be hashed is first padded with its length in such a way that the result is a multiple of 512 bits long, and then parsed into 512-bit message blocks M(1);M(2); : : :;M(N). The message blocks are processed one at a time: Beginning with a fixed initial hash value H(0), sequentially compute Where C is the SHA-256 compression function and + means word-wise mod 264 addition. H(N) is the hash of M [5]. SHA-512 SHA-512 is a variant of SHA-256 which operates on eight 64-bit words and block size of 1024 bits. It uses different shift amounts and additive constants, but its structure is otherwise virtually identical, differing only in the number of rounds, which are 80 for SHA-512[15]. HASH FUNCTION A cryptographic hash function is a mathematical transformation that takes a message of arbitrary length and computes a fixed length value also known as hash value, message digest, hash code, hash sum, checksum, etc. Where H is Hash Function, M is variable length message; H is fixed size hash value. Creating hash function is accomplished by iteration. Instead of using a hash function with variable-size input, a function with fixed size input is created and is used a necessary number of times. This fixed size input function is known as compression function. It compresses an n-bit string to create a m-bit string where n is normally greater than m. This scheme is referred to as an iterated cryptographic hash function [6]. These compression function fall into two categories: a function specially designed for the hash function or a symmetric block cipher [2]. Figure 2. Iterated Cryptographic hash Function Characteristics of one way Hash Function: Given M, it is easy to compute h. Given h, it is hard to compute M such that. Given M, it is hard to find another message, M’, such that The whole point of one way hash function is to provide a finger print of M that is unique. In some application one wayness is insufficient; we need an additional requirement called collision-resistance (It is hard to find two random messages, M and M’, such that [1]). Figure 3. Basic Hash Algorithm at sender and receiver Hash Function takes message and an initial value as an input and produces the hash value. The hash value is appended to the message at a time when the message is assumed or known to be correct. The receiver authenticates the message by generating the hash value with the same procedure and compares it with the hash value send by the sender. If both the value matches then the received message is same as it is send by the sender otherwise message has been tampered with. RC6 RC6 [7] is a fully parameterized family of encryption algorithms. A version of RC6 is more accurately specified as RC6-w r bwhere the word size is wbits, encryption consists of a nonnegative number of roundsr, andbdenotes the length of the encryption key in bytes. Since the AES submission is targeted atw= 32 andr= 20, we shall use RC6 as shorthand to refer to such versions. When any other value ofworris intended in the text, the parameter values will be specified as RC6-w r. Of particular relevance to the AES effort will be the versions of RC6 with 16-, 24-, and 32-byte keys [4]. Figure 4. RC6 Encryption For all variants, RC6-w r boperates on units of fourw-bit words using the following six basic operations. integer addition modulo integer subtraction modulo bitwise exclusive-or of w-bit words integer multiplication modulo Rotate to the left by the amount given by the least significant bits of Rotate A to the right, similarly parallel assignment Key Expansion Use two magic constants:- Where:- †¦Ã¢â‚¬ ¦.(base of natural logarithm) †¦Ã¢â‚¬ ¦..() is the odd integer nearest to . INPUT byte key that is preloaded into word array denotes the no of rounds. OUTPUT w-bit round keys . ALGORITHM For do Encryption Four w-bit registers A, B, C, D contain the initial input plain-text as well as the output ciphertext at the end of encryption. The first byte of plaintext is placed in the least significant byte of A; the last byte of plaintext is placed into the most significant byte of D [6]. INPUT Plaintext stored in four w-bit input registers Number r of rounds w-bit round keys OUTPUT Ciphertext stored in ALGORITHM C = C + S[2r + 3] Decryption For decryption of cipher-text load these cipher text into registers A, B, C, D Algorithm uses integer subtraction modulo 2w and right rotation on registers for getting plain text. INPUT Ciphertext stored in four w-bit input registers Number r of rounds w-bit round keys OUTPUT Plaintext stored in ALGORITHM HASH FUNCTION USING RC6 RC6 is a uses 44 words of key material making it more complex to break. RC6 parameterized cipher; the block size can be grown in a straightforward manner to 256 bits and beyond.RC6 has maximum key size of 2040 bits, making the corresponding hash function very fast.20 rounds using RC6 will have all these features which make the hash more efficient and secure. It is possible to use a symmetric block cipher algorithm as a hash function. If the block algorithm is secure, then the one-way hash function will also be secure. One approach is to encrypt the message with the algorithm in CBC mode, a fixed key and an initial vector (IV), the last cipher text block is the hash value. Another more better approach uses the message block as the key, the previous hash value as the output. Here we will use second approach. Algorithm presented here has variable parameters i.e. different parameter value can be taken according to the need. Block size (b), Number of rounds (r), length of hash value (l) are the different variable parameters that are the inputs of the algorithm. The length of hash value (l) should be multiple of 256. First of all padding is done. Message is padded with zeros in a way such that the padded message length is multiple of the block size (b). Then initial vector is needed to generate the hash value. Initial Vector is a piece of data is needed to begin running an algorithm, and is not secret. There are two initial vectors in this algorithm which are used to generate initial hash value. To generate the initial hash value combination of v (size of hash value divided by 256) 256 bits values calculated as follows: After generating initial hash value from initial vectors the message (M) is divided into number of small chunks (n). The size of message chunks should be equal to block size b, after that RC6 key generation is applied on each message block to generate keys that will be used to encrypt the previous hash value to generate next hash value. Initial 256 bits v hash values are encrypted via RC6 using RC6 keys generated from first message block (M1). This is then encrypted again from the keys generated from second message block (M2) and so on until all the message blocks (n) are used. At last all the v final hash values of length 256 bit each are concatenated to generate the final hash value of length l. Number of rounds (r) is divided in to two parts, 3r/4 rounds are used to generate the RC6 keys from the message block and r/4 rounds are used to encrypt the previous hash value to generate next hash value. Figure 5 shows the procedure for hash value of size 512 bits. Figure 5. Hash Value Generation using RC6 PSEUDO CODE INPUT Message M, Number of rounds r, Block size b, Length of hash value l; OUTPUT Final hash value h; ALGORITHM Pad 0s (zeros) at the end of the message so the message length is multiple of b; Divide message into chunks of size b; Repeat step 7 to 21 Load Repeat step 10 to 12 Repeat step 13 to 16 Repeat step 20 Repeat step 22 to 33 Load Repeat step 26 to 30 for do Load Concatenate to get final hash value h PERFORMANCE AND ANALYSIS This algorithm was implemented using java in NetBeans IDE 7.0.1. Following results were obtained on Intel(R) Core(TM) i3 CPU M 370 @ 2.40 GHz 2.39 GHz 32 bit system with 4 GB of RAM running Windows 7 Ultimate. Algorithm presented in this paper is compared with SHA-256 and SHA-512 respectively. Comparison between algorithm presented here and SHA are done on the basis of throughput of the algorithms and time to produce hash value for files of different sizes. To be more accurate the program is executed ten times for each input file and the average of those results are reported here. Results in Figure 6 to Figure 9 and Table 1 for Hash using RC6 are obtained for r=64, b=512, l=256 and these results are compared with SHA-256 which has same value for these parameters. Figure 6. Throughput of RC6_HASH and SHA-256. Figure 7. Bar Graph of Hash value generation time of RC6_HASH and SHA-512 Figure 8. Line Graph of Hash generation time of HASH_RC6 (256) and SHA-256 Figure 9. Execution time saving caused by Hash_RC6 Table 1. Comparison of Hash_RC6 (256) SHA-256 on the basis of Execution Time of different type of Files. Figure 6 shows the throughput of RC6_HASH and SHA-256 the algorithms in KB/sec. Figure 7 shows the Bar Graph hash value generation time (in millisec) of both the algorithms for the file of different sizes (in KB). Figure 8 shows the Line-Graph of execution time according to their file size for each file using algorithms Hash_RC6 (256) and SHA-256. Line graph is more convenient to show that Hash_RC6 (256) performs faster than SHA-256. This Graph also shows that for the file of small size both the algorithms performs approximately same i.e. there is not much of the difference but when the file size increases Hash_RC6 (256) performs much better than the SHA-256. Bar chart in Figure 9 shows the execution time saving caused by Hash_RC6 in percentage in comparison with SHA-256 for different file sizes. It’s greater than 30% for almost all the file sizes and for some of the file sizes its approx 50% that is greater advancement. The average percent execution time saving by Hash_RC6 for hash value of 256 bits over SHA-256 is 40.26. We compare the execution time of each algorithm on different file types like text file, audio file video files, for this purpose we mainly used 10 files and recorded their hash value generation time in milliseconds for these algorithms. List of Input files and their size are given in Table 1. Results in Figure 10 to Figure 13 and Table 2 for Hash using RC6 are obtained for r=80,b=1024,l=512 and these results are compared with SHA-512 which has same value for these parameters. Figure 10. Throughput of RC6_HASH and SHA-512. Figure 11. Bar Graph of Hash value generation time of RC6_HASH and SHA-512 Figure 12. Line Graph of Hash Generation Time of HASH_RC6 (512) and SHA-512 Figure 13. Execution Time saving caused by Hash_RC6 Table 2. Comparison of Hash_RC6 (512) SHA-512 on the basis of Execution Time of different type of Files. Figure 10 shows the throughput of RC6_HASH and SHA-512 the algorithms in KB/sec. Figure 11 shows the Bar Graph of hash value generation time (in millisec) of both the algorithms for the file of different sizes (in KB). Figure 12 shows the Line-Graph of execution time according to their file size for each file using algorithms Hash_RC6 (512) and SHA-512. Line graph is more convenient to show that Hash_RC6 (512) performs faster than SHA-512. This Graph also shows that the difference is not so much for file of small size but when it comes to file of larger size Hash_RC6 (512) is much better than the SHA-512. Bar chart in Figure 13 shows the execution time saving caused by Hash_RC6 (512) in percentage in comparison with SHA-512 for different file sizes. It’s greater than 15% for almost all the file sizes and for some of the file sizes its approx 35% that is greater advancement. The average percent execution time saving by Hash_RC6 for hash value of 512 bits over SHA-512 is 24.625. We compare the execution time of each algorithm on different file types like text file, audio file video files, for this purpose we mainly used 10 files and recorded their hash value generation time in milliseconds for these algorithms. List of Input files and their size are given in Table 2. CONCLUSION In this research paper a new algorithm for generating hash value is presented. This algorithm is generated on a symmetric block cipher known as RC6 and can generate hash value of different sizes. The algorithm can also operate on different block size and different number of rounds. The implementation of algorithm is done using JAVA in NetBeans IDE 7.0.1. on Intel(R) Core(TM) i3 CPU M 370 @ 2.40 GHz 2.39 GHz 32 bit system with 4 GB of RAM running Windows 7 Ultimate. Hash value generated using algorithm presented here are secure against many attack because when a hash algorithm is generated using symmetric block cipher it inherit the properties of underlying cipher. The idea behind this is that if the symmetric block algorithm is secure then the generated hash function will also be secure [1]. Then the algorithm is compared with SHA-256 and SHA-512 for same parameter and on the same environment. The results of comparison conclude that the algorithm present here has better throughput

A Book Report on A Slant of Sun: One Child`s Courage

A Slant of Sun: One Child’s Courage was named Best Book of the Year by Salon magazine and The Philadelphia Inquirer. The book is also a finalist for the 1998 National Book Award for Nonfiction. A Slat of Sun was quickly regarded as a contemporary classic, as it was highly commended for its heartwarming story about love in the face of a great challenge between mother and son.This book is a personal memoir of Beth Kephart, about her son, Jeremy, who had a PDD diagnosis. Kephart narrates her family’s search for medical and therapeutic assistance, as well as the answers she had found serendipitously along her way. In the face of a great challenge, a mother rediscovers herself and life in general. She lives with her family in Pennsylvania.According to one of the book reviews available online, A Slant of Sun: One Child's Courage â€Å"gives voice to all of the mothers who ever wondered about their child’s â€Å"difference,† [and] the revised definition of mothe rhood in the shadow of disability,† (Gabovitch, 2002).Another review says, â€Å"Kephart's fears that her own maternal failings are somehow implicated in Jeremy's problem stand out as the emotional core of this memoir. Her faith in her son, perseverance, and eventual acceptance of herself play as important a role in his healing process† (DiLucchio, 1998).Both reviews focused on the rich message intended for mothers in A Slant of Sun. In her review, she notes that a child’s disability creates a new concept of motherhood, and ultimately, it redefines a mother’s life, especially the way she perceives herself as a mother.Indeed, A Slant of Sun tugs at mothers heart strings because motherhood is difficult as it is. A child’s difficulty multiplies the challenges in many ways, and as such, mothers are called to summon all their courage and give the best love that they can give so that their children can have a taste of a â€Å"normal life.†The main characters in the story are the author herself, and her son, Jeremy. They are supported by Bill, the husband and father. The characters each has a solid spirit that seems to have been designed for overcoming struggles.The parents’ amazing love for their child helped them through the situation, and ultimately helped Jeremy. It is difficult to divide sympathy among them, because each couldn’t possibly be suffering more than the other, considering how much love they have for each other.Jeremy’s case is called PDD or pervasive developmental disorder. It is as vague as it sounds, which made it even more difficult for Jeremy’s family to understand the scenario they were in. PDD is somehow related to the complex autism disorder, except PDD seemed â€Å"milder.†Evenso, there were no sufficiently authoritative medical conclusion about PDD, let alone manuals for parents whose children also have Jeremy’s disorder. The author said her child screamed eac h time strangers approached him and spent a lot of time daily rearranging his toys into some pattern that only he (Jeremy) can understand.I think the book is more than successful at bringing to public attention the case of PDD. For one, the author spoke from her home, and from her heart. When a highly technical or complicated disorder should be understood by the public, there is no better way than to tell it as it is experienced daily in the family. Not just families who are familiar with the disorder appreciate the book; practically every reader who loves his/her family could relate to it.The information and imagery within the story that chronicles the family’s daily reactions to Jeremy’s PDD episodes is related to the readers in a fantastic manner. Kephart should be commended for relaying a story so serious yet so full of positive vibe about it. There are even moments in the story when Kephart sounded life and rich in sense of humor. As it is written straight from a mother’s heart, every word was raw and striking, as if the conversation was personal and one-on-one.Jeremy’s parents found experts’ opinions lacking, so they took matters into their own loving hands. They allowed Jeremy to keep his interests – trains and cars to planes and trucks – and allowed him to react to strangers in his own way, while they stay close to back him up.More importantly, the parents made a wise decision by picking a good school for Jeremy’s learning progress. By clinging to her intuition and creative imagination, Jeremy’s mother helped him find his way through the dark tunnel of his disorder, which not many medical experts could do on their own. True enough, parents’ love, more specially a mother’s love, is the most powerful healer of all.The book made me appreciate my â€Å"normal† life more. I also think it is a powerful reminder that not everything can be solved by knowledge gained by educatio n. While education is important and its worth cannot be discounted, it is not the only solution to our life’s trials. In fact, a person’s strong will and sheer determination can help him get things done. Jeremy’s parents were not experts in Jeremy’s condition, but in the end, it was them who found the ways to make Jeremy function normally in the society.Ultimately, the parents’ unyielding belief that their child could be well has helped Jeremy overcome the difficulties caused by his disorder.BibliographyKephart, B. (1998). A Slant of Sun: One Child's Courage. New York: W. W. Norton & Co., Inc.Harper Collins. Beth Kephart from Harper Collins Publishers.Retrieved November 9, 2006.Web site: http://www.harpercollins.com/authors/19248/Beth_Kephart/index.aspxGabovitch, E. (2002). Book Review: Mothers and Autism. Retrieved November 9, 2006. Web site: http://www.firstsigns.org/articles/mothers_2002.htmDiLucchio , P. (1998). Amazon’s Customer Review. Retrieved November 9, 2006.Website: http://www.amazon.ca/Slant-Sun-One-Childs-Courage/dp/product-  Ã‚   description/0393027422

What Everybody Else Does When It Comes to Help to Write Research Papers and What You Need to Do Different

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R. Steve Jobs - A Passionate Leader - 1960 Words

r Steve Jobs – A Passionate Leader Team 4 Leadership Paper Chasity Cunningham, Daniel Debose, William Drake, Marquis Everett Leader Chosen The leader chosen was considered at the list of top recognized leaders, as well as the companies or industries they represented. It was very important that to evaluate the success of leaders including their personal and corporate achievements before making a final selection. The list of leaders included the likes of Jeff Bezos, Amazon; Steven Spielberg, filmmaker; Jack Welch, GE; Richard Branson, Virgin Group; and Steven Jobs, Apple. Once the list of leaders was narrowed down, discussed, prioritized, the top three leader were submitted in the order of preference. The thought being†¦show more content†¦They penetrated the market and made a name for themselves by making electronics that were smaller, cheaper and more accessible to every day consumers (Steve Jobs). Jobs left Apple after being forced into a less important position at the company he co-founded. He purchased Pixar Animation studios because he had faith in their potential. Despite their success, Pixar was eventually bought out by Apple and Jobs returned to the company as CEO. He was known for rejuvenating the company after hiring a new management team, different stock options and a personalized salary of $1 annually (Steve Jobs). Jobs was diagnosed with pancreatic cancer in 2003. He initially refused medical treatment but after nine months he underwent a successful surgery to remove the tumor. Despite This successful surgery, Jobs lost his battle with pancreatic cancer at the age of 56 on October 5, 2011 while in Palo Alto (Steve Jobs). Leadership Characteristics and Practices Steve Jobs has always been considered an anomaly in management, his leadership style was something to admire or criticize (Verganti 2011). It is well known that Steve Jobs could be arrogant, dictatorial and mean-spirited; yet he was a great leader. Jobs leadership style was a key ingredient in Apple’s success; had he used a different style, he might not have achieved the same spectacular results at Apple. He had at least three qualities that great executive leaders have: a clear vision, passion for the company and an ability toShow MoreRelatedLeadership Styles From The Television1395 Words   |  6 PagesIntroduction A leader I admire, whether real-life or fictional character from the television, the movies or a book, will be identified. Leadership theories will be used to evaluate my selected leader to determine what characteristics and leadership abilities helped this leader become successful. I will also include an evaluation of my own leadership style and identify what my individual leadership characteristics are. 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