KRIPTOGRAFIYADA SONLAR NAZARIYASINING ZAMONAVIY QO‘LLANILISHI
Keywords:
kriptografiya, sonlar nazariyasi, RSA, ECC, modul arifmetikasi, xavfsizlik, diskret logarifmAbstract
Mazkur maqolada sonlar nazariyasining kriptografiya sohasidagi ahamiyati, ayniqsa zamonaviy raqamli xavfsizlik tizimlarida uning o‘rni yoritiladi. RSA va elliptik egri chiziqlar kriptografiyasi (ECC) kabi asosiy algoritmlarning matematik asoslari tahlil qilinadi. Shuningdek, katta sonlarni faktorizatsiya qilish muammosi, modul arifmetikasi, diskret logarifm masalasi kabi fundamental tushunchalarning kriptografik tizimlarda qo‘llanishi ilmiy asosda bayon etiladi. Tadqiqot oxirida sonlar nazariyasining kelajakdagi qo‘llanilish istiqbollari, jumladan kvant kriptografiyasi bilan bog‘liq yo‘nalishlar ko‘rib chiqiladi.
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