Number theory is a vast and fascinating field consisting of the study of the properties of whole
numbers.Primes and Prime Factorizations are especially important in number theory,as are a number of
function including the Totient function. A totient number is a value of Euler’stotient function.
Cryptography is a division of applied mathematics concerned with developing schemes and formulas to
enhance the privacy of comunications through the use of codes.Also cryptography is the process of
transferinginformation securely,in a way that no unwanted third party will be able to understand the
message.
Cryptography allows its users to maintain privacy and confidentiality in their communications. It has
been used for thousand of years and it also means to ensure the integrity and preservation of data from
tampering.
Encryption systems can involve the sipmplistic replacement of letters with numbers,or they can involve
the use of highly secure one-time pads.
Many diplomatic negotiations have turned on the ability of one combatant or country to read the
supposedly secret messages on its enemies. In step with the growth of computing technologies and the
decline of paper and pen record keeping,the importance of cryptography rose during the later half of
the twentieth century.
The use of cryptography broadened from its core diplomatic and military users to become of routing use
by companies and individuals seeking privacy in their communications.
In addition to the improvements made in cryptological systems international scientific research
organisations dedicated exclusively to the advancement of cryptography began to apply mathematical
number theory to enhance privacy,confidentiality and the security of data.
Applications of number theory allow the development of mathematical algorithms that can make
information incomprehensible to all but the interded users.
In addition,mathematical algorithms can provide true physical security for data allowing only authorized
users to delete orupdate data. One of the problems in developing tools to break encryption codes
involves finding ways to factor very large numbers. Advances in applications of number theory, along
with significant improvements in the power of computers, have made factoring large numbers less
daunting.
The first thing to do is to understand how to apply for a cryptography. There are some characteristics of
cryptography that will make us understand the concept of its.
Any communication channel involves a receiver and a sender. For any communication channel to be safe
and secure, it is important that the authentic identities and locations of the receiver and sender be
known.
Once the authentic information about the receiver and sender is collected and stared, it is then ensured
that data is kept private.
Therefore, cryptography is best to use as it keeps data private and does not involve any other entity
other than the receiver and the sender of the communication channel.Reciever and the sender of the
communication channel.
A much-known application of cryptography is digital currency where in cryptocurrencies are tradet over
the internet.
Top cryptocurrencies like Bitcoin or Ripple have been developed and traded over time.Unregulated by
any government or banks,cryptocurrencies are our upcoming future.
Blockchain technology has a lot to do with this application.Several nodes in the blockchain are
empowered with cryptography that enables the secure trade of a cryptocurrency in a digital ledger
system.
In the end,it would be imparative to state that cryptography has real-world applications that are
inevitable.A virtual world is being developed,it is becoming important for cryptography-enabled
operations in many fields.
Be it financial transactions or military communication,cryptography is the talk of the town.A process of
transmitting messages without letting acess to any third-party cryptography has become indispensable.
That said,it is also being used for malicious purposes that have given way to ethical hacking operations.
Perhaps time will tell if the righteous use of cryptography with outweigh its harmful purposes.
