Abstract: A method and an apparatus that generate a plurality of elements randomly as a split representation of an input used to provide an output data cryptographically representing an input data are described. The input may correspond to a result of a combination operation on the elements. Cryptographic operations may be performed on the input data and the elements to generate a plurality of data elements without providing data correlated with the key. The combination operation may be performed on the data elements for the output data.

Abstract: First source code of a computer program having a plurality of lines of instructions is received. An obfuscation process is performed on the first source code, including at least two of a shuffling operation, a fertilizing operation, an aggregating operation, and a neutralizing operation. Second source code is generated based on the obfuscation process, where the second source code, when executed by a processor, produces an identical result as the first source code.

Abstract: Disclosed herein are systems, computer-implemented methods, and computer-readable storage media for obfuscating data based on a discrete logarithm. A system practicing the method identifies a clear value in source code, replaces the clear value in the source code with a transformed value based on the clear value and a discrete logarithm, and updates portions of the source code that refer to the clear value such that interactions with the transformed value provide a same result as interactions with the clear value. This discrete logarithm approach can be implemented in three variations. The first variation obfuscates some or all of the clear values in loops. The second variation obfuscates data in a process. The third variation obfuscates data pointers, including tables and arrays. The third variation also preserves the ability to use pointer arithmetic.

Abstract: In the field of computer enabled cryptography, such as a keyed block cipher having a plurality of sequenced rounds, the cipher is hardened against an attack by a protection process which adds rounds to the cipher process. This is especially advantageous in a “White Box” environment where an attacker has full access to the cipher algorithm (process), including the algorithm's internal state during its execution. In one version, a specific number of rounds are added over those of a standard version of the cipher to both encryption and the complementary decryption. The added rounds are inserted immediately after the last of the standard rounds in the sequence. In another version, the added rounds are one or more opposing paired rounds of encryption/decryption or decryption/encryption which effectively cancel each other out, and may be inserted anywhere in the sequence of standard rounds.

Abstract: In the field of computer enabled cryptography, such as a keyed block cipher having a plurality of sequenced rounds, the cipher is hardened against attack by a protection process. The protection process uses block lengths that are larger or smaller than and not an integer multiple of those of an associated standard cipher, and without using message padding. This is operative in conjunction with standard block ciphers such as the AES, DES or triple DES ciphers, and also with various block cipher cryptographic modes such as CBC or EBC.

Abstract: In the field of computer enabled cryptography, such as a cipher using lookup tables, the cipher is hardened against an attack by a protection process which obscures the lookup tables using the properties of bijective functions and applying masks to the tables' input and output values, for encryption or decryption. This is especially advantageous in a “White Box” environment where an attacker has full access to the cipher algorithm, including the algorithm's internal state during its execution. This method and the associated computing apparatus are useful for protection against known attacks on “White Box” ciphers, by obfuscating lookup table data, thereby increasing the cipher's complexity against reverse engineering and other attacks.

Abstract: This discloses, in the computer data security field, a cryptographic hash function process embodied in a computer system and which may be keyless, but is highly secure. The process is based on the type of randomness exhibited by a heap or stack of physical objects such as a heap of pieces of fruit and involves modeling the behavior of such a heap when pieces are removed from the heap. Computation of the hash value (digest) is thereby the result of executing a heap model algorithm using the message as an input to initialize the heap, then executing the heap model algorithm which logically models the process of serially removing objects (pieces of fruit) from the heap at various locations in the modeled heap.

Abstract: Disclosed herein are systems, computer-implemented methods, and computer-readable storage media for obfuscating data based on a discrete logarithm. A system practicing the method identifies a clear value in source code, replaces the clear value in the source code with a transformed value based on the clear value and a discrete logarithm, and updates portions of the source code that refer to the clear value such that interactions with the transformed value provide a same result as interactions with the clear value. This discrete logarithm approach can be implemented in three variations. The first variation obfuscates some or all of the clear values in loops. The second variation obfuscates data in a process. The third variation obfuscates data pointers, including tables and arrays. The third variation also preserves the ability to use pointer arithmetic.

Abstract: In the field of computer data security, a hash process which is typically keyless and embodied in a computing apparatus is highly secure in terms of being resistant to attack. The hash process uses computer code (software) polymorphism, wherein computation of the hash value for a given message is partly dependent on the content (data) of the message. Hence the computer code changes dynamically while computing each hash value.

Abstract: In the computer data security field, cryptographic hash function processes embodied in a computer system and which are typically keyless, but are highly secure. The processes are based on the type of randomness exhibited by well known table “cue sports” games such as billiards, snooker, and pool played on a billiards table involving the players striking one of a plurality of balls with a cue, the struck ball then hitting other balls, the raised sides of the table, and in some cases one or more balls going into pockets in the corners and/or sides of the table. Computation of the hash value (digest) is the result of providing a model (such as expressed in computer code) of such a game algorithm and using the message as an input to the game algorithm, then executing the game algorithm. A state of the game after one or several “shots” gives the hash digest value of the message.

Abstract: A cryptographic process (such as the AES cipher) which uses table look up operations (TLUs) is hardened against reverse engineering attacks intended to recover the table contents and thereby the cipher key. This hardening involves removing any one-to-one correspondence between the TLU inputs and outputs, by altering the output of the TLU dynamically, e.g. at each execution (call) of the TLU. This is done by increasing the size of the tables, applying a dynamically determined mask value to the table input and/or output, or using an inverse of the table.

Abstract: In the field of computer enabled cryptography, such as a keyed block cipher having a plurality of rounds, the cipher is hardened against an attack by a protection process which obscures the round keys using the properties of group field automorphisms and applying masks to the states of the cipher, for encryption or decryption. This is especially advantageous in a “White Box” environment where an attacker has full access to the cipher algorithm, including the algorithm's internal state during its execution. This method and the associated computing apparatus are useful for protection against known attacks on “White Box” ciphers, by eliminating S-box operations, together with improved masking techniques and increasing the cipher's complexity against reverse engineering and key storage attacks.

Abstract: Method and apparatus for obfuscating computer software code, to protect against reverse-engineering of the code. The obfuscation here is of the part of the code that performs a Boolean logic operation such as an exclusive OR on two (or more) data variables. In the obfuscated code, each of the two variables is first modified by applying to it a function which deconstructs the value of each of the variables, and then the exclusive OR operation is replaced by an arithmetic operation such as addition, subtraction, or multiplication, which is performed on the two deconstructed variables. The non-obfuscated result is recovered by applying a third function to the value generated by the arithmetic operation. This obfuscation is typically carried out by suitably annotating (modifying) the original source code.

Abstract: In the field of cryptography, such as for a computer enabled block cipher, a cipher or other cryptographic process is hardened against an attack by protecting the cipher key or subkeys by using a masking process for these keys. The subkeys are thereby protected by applying to them a mask or set of masks to hide their contents. This is especially advantageous in a “White Box” computing environment where an attacker has full access to the cipher algorithm, including the algorithm's internal state during execution. Further, this method and the associated apparatus are useful where the key is derived through a process and so is unknown when the software code embodying the cipher is compiled. This is typically the case where there are many users of the cipher and each has his own key or where each user session has its own key.

Abstract: In the field of computer enabled cryptography, such as a keyed block cipher having a plurality of rounds, the cipher is hardened against attack by protecting the round keys by (1) combining several cipher operations using a pair of sub-keys (round keys) into one table look-up, or (2) a key masking process which obscures the round keys by providing a masked version of the key operations for carrying out encryption or decryption using the cipher. This approach is especially advantageous in an insecure “White Box” environment where an attacker has full access to execution of the cipher algorithm, including the algorithm's internal state during its execution.

Abstract: In the field of computer enabled cryptography, such as a keyed block cipher having a plurality of rounds, the cipher is hardened against an attack by protecting the cipher key by means of a key expansion process which obscures the cipher and/or the round keys by increasing their lengths to provide an expanded version of the keys for carrying out encryption or decryption using the cipher. This is especially advantageous in a “White Box” environment where an attacker has full access to the cipher algorithm, including the algorithm's internal state during its execution. This method and the associated computing apparatus are useful where the key is derived through a process and so is unknown when the software code embodying the cipher is compiled. This is typically the case where there are many users of the cipher and each has his own key, or where each user session has its own key.

Abstract: In the field of computer enabled cryptography, such as a block cipher, the cipher is hardened against an attack by protecting the cipher key, by applying to it a predetermined linear permutation before using one key to encrypt or decrypt a message. This is especially advantageous in a “White Box” environment where an attacker has full access to the cipher algorithm, including the algorithm's internal state during its execution. This method and the associated computing apparatus are useful where the key is derived through a process and so is unknown when the software code embodying the cipher is compiled. This is typically the case where there are many users of the cipher and each has his own key, or where each user session has its own key.

Abstract: In the computer data security field, a cryptographic hash function process embodied in a computer system and which is typically keyless, but is highly secure. The process is based on the type of randomness exhibited by well known tetromino stacking games. Computation of the hash value (digest) is the result of executing such a “piling on” (tetromino stacking game) algorithm using the message as an input (a seed) to a pseudo random number generator which generates the game pieces (shapes) from the resulting random numbers, then executing the game algorithm.

Abstract: In the data security field, a modular cryptographic hash function process is embodied in a computer system or hardware (circuitry). The process is based on the mode of operation of the known “Shabal” hash function which uses a keyed permutation applied to each word of the message. Here a function is substituted for the permutation and additional final rounds are added to the function. Security is further enhanced over that of the Shabal hash function by avoiding use of the message blocks in computing certain of the data arrays, in order to frustrate known message attacks.

Abstract: An asymmetric (dual key) data obfuscation process, based on the well known ElGamal cryptosystem algorithm, and which uses multiplicative cyclic groups to transform (obfuscate) digital data for security purposes. In the present system the data need not be a member of the cyclic group, unlike in the ElGamal cryptosystem algorithm. Also, any one of several additional mathematical data transformations are further applied to the transformed data, thereby enhancing security of the transformed data.