Download Analyzing Complexity and Applications of Fibonacci Numbers and Modular Arithmetic and more Cheat Sheet Applied Computing in PDF only on Docsity!

Fibonacci Numbers :^ How^ to (^) find in^ recensive way! Hink about How can we^ make

Complexityo^

e

other was^?

Recursive

Fibonacci

• (^) - I
  • Number -^ How^ may^ times - N are called (^)?

#Describing complexity^

, Run time^ using recurrences (^)!

# Review^ Biso notation^

and complexity

# How steps

, but (^) also low^ much (^) larger date can (^) get) Not^ only addition when numbers become^ complex. #of fundamental^ operations (^) , (^) Of Hof

bendamentaloperations

Complexity

modular arite til Review in Detail 17 mod modulo Tcolat does it

(^) mean ? CO, ... N^ -1]^ , din (^) dis Casse

Laws im (^) modular arithmetic

Reductions^ I

seeexample dedree 0031 y?

Small

numbers

operation^

modulo N addition, multiplication, Composit , lit completea

verse (^3) mod 2)

working!

-

Inverse (^) always not elist

do (^) modula (^) exponeration for cryptosystem . methodo(n3) Revel en^ How^ Complexit we die^ feis C 9 :^00 hi

(^) give

x37 (^) How would you compute? See example-class ·way^ is it^ 0(n3)

Computation of GKD^ Eam (^) E garithm extension (^) of Enslich

Compute

module inverse

• °-

The (^) intege a^ ....^ ap^

and all

of these^ berment's test , sall

aror rate^

(

H

T ja

Camichael's^ member^

What an)

S Desting matter or^ not).^ why &difficult

Random (^) primes generation Whatore^ engage toren (^) says] x

• enx membe we Have

Randomized Algorithom^

e

adventge

Montecerla VIS

• disadvantages regal

#POGRAPHY Private , Public (^) keys

Privat Kay

home

RSA SYSTEMS - > Home encryption, what

• are public, private E 3

Es ample perf

ve of RA

(^) explore procedure (^

day

#Practice on graphe #ETypes^ of^ Edges (^3) distinguish direct jundicted formand ,

• I^ Backward^ ,

Pro

#Cycles :^ Both

• ° Graphe

fin^ ding^ Cycle

hincausing^ Graph (^) , node^

Sorted 3 geopte how may topological^ forts

*

directed (^) grepl

connected , strongly

connected graples