TUB SONLARNI HOSIL QILISH USULLARI VA ULARNING TAQSIMOTI

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  • Karimov Abdukodir Abdisalomovich ##default.groups.name.author##
  • Ergasheva Farida Yunus qizi ##default.groups.name.author##

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Kalit so‘zlar: pseudo-tasodifiy, tub sonlar, Evklid.

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Annotatsiya: tub sonlar kriptografik tizimlarning eng quyi va asosiy qismini 
tashkil etganligi va ularning chidamliligini belgilaydigan unsur bo‘lganligi sababli tub 
sonlarni  to‘g’ri  tanlash,  ularni  turli  usullar  bilan  hosil  qilish  muhim  hisoblanadi. 
Ularning chidamliligini tekshirish uchun esa bir qancha algoritmlarni o‘z ichiga olgan 
test  sinovlarni  mavjud.  Ushbu  maqolada  yuqorida  sanab  o‘tilgan  testlar,  ularning 
ishlash tartibi va kriptologik ahamiyati yoritilgan. Hamda tub sonlarning son o‘qida 
yoyilishi ham ma’lum teoremalar va grafiklar yordamida yoritildi. 

##submission.citations##

Foydalanilgan adabiyotlar:

1. Koukoulopoulos, D. (2019). The distribution of prime numbers (Vol. 203).

American Mathematical Soc.

2. Blum, L., Blum, M., & Shub, M. (1986). A simple unpredictable pseudo-random

number generator. SIAM Journal on computing, 15(2), 364-383.

3. Bhattacharjee, K., & Das, S. (2022). A search for good pseudo-random number

generators: Survey and empirical studies. Computer Science Review, 45, 100471.

4. Obaid, T. S. (2020). Study a public key in RSA algorithm. European Journal of

Engineering and Technology Research, 5(4), 395-398.

5. Ezz-Eldien, A., Ezz, M., Alsirhani, A., Mostafa, A. M., Alomari, A., Alserhani, F.,

& Alshahrani, M. M. (2024). Computational challenges and solutions: Prime

number generation for enhanced data security. PloS one, 19(11), e0311782.

6. Пер. с англ. / Под ред. и с предисл. В. Н. Чубарикова. - М.: УРСС: Книжный

дом “ЛИБРОКОМ ”, 2011.-664 с

7. Joye, M., Paillier, P., & Vaudenay, S. (2000). Efficient generation of prime

numbers. In Cryptographic Hardware and Embedded Systems—CHES 2000:

Second International Workshop Worcester, MA, USA, August 17–18, 2000

Proceedings 2 (pp. 340-354). Springer Berlin Heidelberg.

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##submissions.published##

2025-01-07