Bajardi: No’monov Murodjon 712-19 guruh talabasi Avvalo windows 10 da cmd ni ochamiz

Bajardi: No’monov Murodjon 712-19 guruh talabasi
1.Avvalo windows 10 da cmd ni ochamiz.
Pusk+R

2.C diskda “sertificate” degan papka ochamiz va uning ichiga kiramiz va ochiq matn kiritish uchun “ochiqMatn.txt” file ichiga ochiq matn sifatida Ism Familiyamizni kiritamiz.
C:\>mkdir sertificate
C:\>cd sertificate
C:\sertificate>echo Nomonov Murodjon >ochiqMatn.txt
C:\sertificate>dir /o



3.Undan so’ng shu papkamizga openssl chaqirib olamiz va yopiq kalit hosil qilamiz.
C:\sertificate>openssl
OpenSSL> genpkey -algorithm RSA -pkeyopt rsa_keygen_bits:2048 –out yopiqKalit.pen
Bu yerda biz kalit uzunligini 2048 bit olayapmiz

4.Yopiq(maxfiy) kalitdan foydalanib ochiq kalit hosil qilamiz.

OpenSSL> pkey -in yopiqKalit.pen -out ochiqKalit.pen –pubout

5.Ochiq matnni hosil qilgan ochiq kalitimiz bilan shifrlaymiz.
OpenSSL> rsautl -encrypt -in ochiqMatn.txt -pubin -inkey ochiqkalit.pen -out shifrMatn.txt

6.Endi hosil bo’lgan shifr matnni yopiq(maxfiy) kali bilan rasshifirofka qilamiz.
OpenSSL> rsautl -decrypt -in shifrMatn.txt -inkey yopiqkalit.pen -out rasshifrofkaMatn.txt

13-variant

No’monov Murodjon RSA

1. 
   P=23 q=19
   
2. 
   N=p*q=23*19=437
   
3. 
   F(N)=(p-1)*(q-1)=22*18=396
   
4. 
   e=13 EKUB(e,F(N))=1
   
5. 
   e*d=1mod(f(N)) -> 13*d=1mod396 ->d=61
   
6. 
   C=M^emod(N) Murodjon -> 13.21.19.15.4.10.15.14
   
7. 
   M->13¹³mod437=376 u-> 21¹³mod437=364 r->19¹³mod437=76 o->15¹³mod437=143 d-> 4¹³mod437=85 j->10¹³mod437=222 o->15¹³mod437=143 n->14¹³mod437= 287 shifrlash natijasiga kora 376.364.76.143.437
   
8. 
   Endi reshirovkalaymiz va tekshiramiz M=C^dmod(N) M-> 376⁶¹mod437=13 u-> 364⁶¹mod437=21 r->76⁶¹mod437=19
   

o-> 143⁶¹mod437=15 d-> 143⁶¹mod437=4 j->222⁶¹mod437=10 o-> 143⁶¹mod437=15 n->287⁶¹mod437=14 Yana Murodjon ga qaytdik