Bitwise XOR linear space creation through permutation and the ease to enable XOR-free processes.

Area of Science:

• Computer Science
• Cryptography
• Algorithm Optimization

Background:

• Modern computing demands faster operation execution for applications like data transfer and cryptography.
• Time-consuming unit operations can be accelerated through specific modifications.
• XOR logical operations are fundamental in many computational processes.

Purpose of the Study:

• To propose a new software-oriented technique for accelerating XOR operations.
• To design an efficient method for constructing XOR linear spaces.
• To facilitate XOR-free processes and operations.

Main Methods:

• Development of a software-oriented technique to optimize XOR logical operations.
• Efficient construction of XOR linear spaces via value permutation.
• Integration of the proposed XOR-free procedure with SNOW 3G and SNOW 5G stream cipher generation schemes.

Main Results:

• The proposed XOR-free operations achieve an average speed-up of 1.38× for SNOW 3G.
• A speed-up of 1.0193× is observed for SNOW 5G.
• Throughput rates of 459.82 Kbps for SNOW 5G and [Formula: see text] for SNOW 3G were attained.

Conclusions:

• The proposed technique effectively accelerates XOR operations in contemporary computing.
• The method demonstrates practical applicability by enhancing SNOW 3G and SNOW 5G performance.
• This approach offers a valuable solution for applications requiring faster execution speeds.