Generating Software Trivium Using SecureRandom Library

Abstract

In this study, a software trivium structure was created. Trivium is one of the structures created by connecting 3 LFSRs (Linear feedback shift registers) with various logic gates and used as a random number generator. Trivium structures can be created in hardware or software. There are various methods and algorithms proposed in the literature to determine the initial values (key, initial vector and LFSR initial contents) of software trivium structures. In this study, unlike the existing studies, the first conditions were created by using the Java SecureRandom library. Pseudo-random numbers generated using the software trivium structure created in the study were analyzed with NIST SP 800-22 Rev.1a tests. The binary sequences produced using the generated trivium structure passed the randomness tests successfully.

Keywords

• LFSR (Linear Feedback Shift Register)
• PRNG (Presudo-Random Number Generators)
• NIST 800-22 Rev.1a
• SHA (Secure Hash Algorithm).
• Trivium

SecureRandom Kütüphanesi Kullanarak Yazılımsal Trivium Oluşturma

Abstract

Bu çalışmada yazılımsal trivium yapısı oluşturulmuştur. Trivium, 3 adet LFSR’nin (Doğrusal geri beslemeli kaydırmalı yazmaç) çeşitli mantık kapılarıyla birbirine bağlanmasıyla oluşturulan ve rasgele sayı üreteci olarak kullanılan yapılardan biridir. Trivium yapıları donanımsal veya yazılımsal oluşturulabilir. Yazılımsal trivium yapılarının ilk değerlerini (anahtar, başlangıç vektörü ve LFSR başlangıç içerikleri) belirlemek için literatürde önerilen çeşitli yöntem ve algoritmalar mevcuttur. Bu çalışmada mevcut çalışmalardan farklı olarak ilk şartlar Java SecureRandom kütüphanesi kullanlarak oluşturulmuştur. Çalışmada oluşturulan yazılımsal trivium yapısı kullanılarak üretilen sözde rasgele sayılar NIST SP 800-22 Rev.1a testleri ile analiz edilmiştir. Oluşturulan trivium yapısı kullanılarak üretilen ikili diziler rasgelelik testlerinden başarılı şekilde geçmiştir.

Keywords

• Trivium
• LFSR (Linear Feedback Shift Register)
• SRSÜ (Sözde Rasgele Sayı Üreteçleri)
• NIST 800-22 Rev.1a
• SHA (Secure Hash Algorithm).

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