Kaotik sistemler ve FPGA tabanlı kaotik osilatörlerin gerçek rasgele sayı üretimindeki (GRSÜ) önemi üzerine bir araştırma

Can Bülent FİDAN, MURAT TUNA
118 27

Öz


Rasgele sayı üreteçleri kriptografi, Monte-Carlo metodunun kullanıldığı uygulamalar, bilgisayar benzetimleri ve modellemeleri ile sayısal analiz uygulamaları gibi birçok alanda kullanılmaktadır. Hızlı, güvenli ve yoğun işlem gerektiren kriptografi ve güvenli haberleşme alanlarında kullanılan GRSÜ’ lerde entropi kaynağı olarak deterministik karaktere sahip olmayan fiziksel yöntemler kullanılmaktadır. Bu yöntemler doğrudan kuvvetlendirme, çift osilatör ve kaos tabanlı uygulamalardır. Kaotik osilatörlerin gürültü benzeri özellikler taşımaları ve bilgi işaretini gizleyebilme gibi özelliklerinden dolayı kaos tabanlı GRSÜ yapıların geliştirilmesi üzerine son yıllarda büyük çabalar sarf edilmektedir. Sayısal devre üzerinde (DSPs, ASIC, FPGA) kaos tabanlı GRSÜ’ leri geleneksel kaos tabanlı analog yapılarına göre etkili bir alternatiftir. Çünkü analog kaotik işaret üreteci kullanan GRSÜ sistemlerinde verici ile alıcının çok iyi şekilde senkronize edilmesi zordur. Bunların devre gerçeklemelerinde ısıl veya saçılma gürültüsü gibi fiziksel gürültü üreten zayıf kaynaklar kullanılmaktadır.
Sayısal tabanlı FPGA çipleri yüksek performans ve işlemci gücü gerektiren kriptoloji ve güvenli haberleşme gibi uygulamalarda bilgi güvenliği kapasitesini iyileştirmede önemli bir potansiyele sahiptir. Bu çalışmada son yıllarda tasarlanan kaotik sistemler ile FPGA üzerinde tasarlanan kaos tabanlı GRSÜ’ lerinin detaylı bir araştırılması ve geleneksel yöntemlerle performans karşılaştırılmaları yapılmıştır.


Anahtar kelimeler


Kaos ve kaotik sistemler; RSÜ; GRSÜ; FPGA; VHDL.

Tam metin:

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Referanslar


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