Secret error-correcting codes (SECC)
CRYPTO '88 Proceedings on Advances in cryptology
Differentially uniform mappings for cryptography
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Linear cryptanalysis method for DES cipher
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Error control systems for digital communication and storage
Error control systems for digital communication and storage
Cryptography and network security (2nd ed.): principles and practice
Cryptography and network security (2nd ed.): principles and practice
Cryptography: Theory and Practice,Second Edition
Cryptography: Theory and Practice,Second Edition
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Error-Control Coding for Data Networks
Error-Control Coding for Data Networks
The Design of Rijndael
Differential Cryptanalysis of Snefru, Khafre, REDOC-II, LOKI and Lucifer
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Differential Cryptanalysis of the Full 16-Round DES
CRYPTO '92 Proceedings of the 12th Annual International Cryptology Conference on Advances in Cryptology
Failure of the McEliece Public-Key Cryptosystem Under Message-Resend and Related-Message Attack
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
FSE '97 Proceedings of the 4th International Workshop on Fast Software Encryption
FSE '02 Revised Papers from the 9th International Workshop on Fast Software Encryption
The Saturation Attack - A Bait for Twofish
FSE '01 Revised Papers from the 8th International Workshop on Fast Software Encryption
Research: A proposal of a cryptography algorithm with techniques of error correction
Computer Communications
Joint encryption and compression of correlated sources with side information
EURASIP Journal on Information Security
Simulation study of the functioning of LFSR for grade 4 irreducible polynomials
SEPADS'09 Proceedings of the 8th WSEAS International Conference on Software engineering, parallel and distributed systems
Joint scheme for physical layer error correction and security
ISRN Communications and Networking
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Securing transmission over a wireless network is especially challenging, not only because of the inherently insecure nature of the medium, but also because of the highly error-prone nature of the wireless environment. In this paper, we take a joint encryption-error correction approach to ensure secure and robust communication over the wireless link. In particular, we design an error-correcting cipher (called the high diffusion cipher) and prove bounds on its error-correcting capacity as well as its security. Towards this end, we propose a new class of error-correcting codes (HD-codes) with built-in security features that we use in the diffusion layer of the proposed cipher. We construct an example, 128-bit cipher using the HD-codes, and compare it experimentally with two traditional concatenated systems: (a) AES (Rijndael) followed by Reed-Solomon codes, (b) Rijndael followed by convolutional codes. We show that the HD-cipher is as resistant to linear and differential cryptanalysis as the Rijndael. We also show that any chosen plaintext attack that can be performed on the HD cipher can be transformed into a chosen plaintext attack on the Rijndael cipher. In terms of error correction capacity, the traditional systems using Reed-Solomon codes are comparable to the proposed joint error-correcting cipher and those that use convolutional codes require 10% more data expansion in order to achieve similar error correction as the HD-cipher. The original contributions of this work are (1) design of a new joint error-correction-encryption system, (2) design of a new class of algebraic codes with built-in security criteria, called the high diffusion codes (HD-codes) for use in the HD-cipher, (3) mathematical properties of these codes, (4) methods for construction of the codes, (5) bounds on the error-correcting capacity of the HD-cipher, (6) mathematical derivation of the bound on resistance of HD cipher to linear and differential cryptanalysis, (7) experimental comparison of the HD-cipher with the traditional systems.