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2023•Unpublished venueRequires access

Differential and Linear Cryptanalysis of IVLBC via MILP Modeling

Murat Burhan İlter, Ali Aydın Selçuk

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Abstract

Involutive Lightweight Block Cipher (IVLBC) is a recently proposed SPN-type block cipher. The intended platform for this cipher is the Internet of Things (IoT), and its performance is promising for both software and hardware. Preliminary differential and linear cryptanalysis are conducted via Mixed-Integer Linear Programming (MILP), an automated tool in the design paper. In this paper, we employ the MILP approach to identify the best linear and differential characteristics of IVLBC. For differential cryptanalysis, we discover a characteristic with a probability of 2−46over 7 rounds of IVLBC, while in linear cryptanalysis, we identify a characteristic with a bias of 2−24, again for 7 rounds of the cipher. These results provide the best single-key differential and linear distinguishers of this cipher in the literature.

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What this paper is about

Involutive Lightweight Block Cipher (IVLBC) is a recently proposed SPN-type block cipher. The intended platform for this cipher is the Internet of Things (IoT), and its performance is promising for both software and hardware. Preliminary differential and linear cryptanalysis are conducted via Mixed-Integer Linear Programming (MILP), an automated tool in the design paper. In this paper, we employ the MILP approach to identify the best linear and differential characteristics of IVLBC. For differential cryptanalysis, we discover a characteristic with a probability of 2−46over 7 rounds of IVLBC, while in linear cryptanalysis, we identify a characteristic with a bias of 2−24, again for 7 rounds of the cipher. These results provide the best single-key differential and linear distinguishers of this cipher in the literature.

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Available abstract

Involutive Lightweight Block Cipher (IVLBC) is a recently proposed SPN-type block cipher. The intended platform for this cipher is the Internet of Things (IoT), and its performance is promising for both software and hardware. Preliminary differential and linear cryptanalysis are conducted via Mixed-Integer Linear Programming (MILP), an automated tool in the design paper. In this paper, we employ the MILP approach to identify the best linear and differential characteristics of IVLBC. For differential cryptanalysis, we discover a characteristic with a probability of 2−46over 7 rounds of IVLBC, while in linear cryptanalysis, we identify a characteristic with a bias of 2−24, again for 7 rounds of the cipher. These results provide the best single-key differential and linear distinguishers of this cipher in the literature.

Key concepts: Block cipher, Linear cryptanalysis, Cipher, Impossible differential cryptanalysis, Differential cryptanalysis, Computer science, Higher-order differential cryptanalysis, Differential (mechanical device)

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