On selection of optimal parameters for the WG stream cipher family
Kalikinkar Mandal, Guang Gong, Xinxin Fan, Mark D. Aagaard
Abstract
Kalikinkar Mandal, Guang Gong, Xinxin Fan, Mark D. Aagaard
Abstract
In this paper, we first present some new results about the Welch-Gong (WG) transformations, followed by a description of the WG stream cipher family which is built upon an LFSR and a WG transformation over an extension field. The randomness properties of keystreams produced by a decimated WG cipher are derived based on the new results. We also discuss the selection criteria for choosing the optimal parameters for a WG cipher in order to achieve the maximum level of security. Finally, we present the optimal parameters for the WG transformations over F2m, 7 ≤ m ≤ 16 based on the proposed criteria.
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In this paper, we first present some new results about the Welch-Gong (WG) transformations, followed by a description of the WG stream cipher family which is built upon an LFSR and a WG transformation over an extension field. The randomness properties of keystreams produced by a decimated WG cipher are derived based on the new results. We also discuss the selection criteria for choosing the optimal parameters for a WG cipher in order to achieve the maximum level of security. Finally, we present the optimal parameters for the WG transformations over F2m, 7 ≤ m ≤ 16 based on the proposed criteria.
Key concepts: Stream cipher, Selection (genetic algorithm), Cipher, Randomness, Transformation (genetics), Extension (predicate logic), Computer science, Cryptography