Substitution cipher | Algorithm, Encryption & Decryption (2024)

cryptology

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substitution cipher, data encryption scheme in which units of the plaintext (generally single letters or pairs of letters of ordinary text) are replaced with other symbols or groups of symbols.

The ciphertext symbols do not have to be the same as the plaintext characters in a substitution cipher, as illustrated in Sir Arthur Conan Doyle’s Adventure of the Dancing Men (1903), where Sherlock Holmes solves a monoalphabetic substitution cipher in which the ciphertext symbols are stick figures of a human in various dancelike poses.

Substitution cipher | Algorithm, Encryption & Decryption (1)

Britannica Quiz

Codes, Secrets, and Ciphers Quiz

The simplest of all substitution ciphers are those in which the cipher alphabet is merely a cyclical shift of the plaintext alphabet. Of these, the best-known is the Caesar cipher, used by Julius Caesar, in which A is encrypted as D, B as E, and so forth. As many a schoolboy has discovered to his embarrassment, cyclical-shift substitution ciphers are not secure, nor is any other monoalphabetic substitution cipher in which a given plaintext symbol is always encrypted into the same ciphertext symbol. Because of the redundancy of the English language, only about 25 symbols of ciphertext are required to permit the cryptanalysis of monoalphabetic substitution ciphers, which makes them a popular source for recreational cryptograms. The explanation for this weakness is that the frequency distributions of symbols in the plaintext and in the ciphertext are identical, only the symbols having been relabeled. In fact, any structure or pattern in the plaintext is preserved intact in the ciphertext, so that the cryptanalyst’s task is an easy one.

There are two main approaches that have been employed with substitution ciphers to lessen the extent to which structure in the plaintext—primarily single-letter frequencies—survives in the ciphertext. One approach is to encrypt elements of plaintext consisting of two or more symbols; e.g., digraphs and trigraphs. The other is to use several cipher alphabets. When this approach of polyalphabetic substitution is carried to its limit, it results in onetime keys, or pads.

Gustavus J. Simmons

Substitution cipher | Algorithm, Encryption & Decryption (2024)

FAQs

How to solve substitution cypher? ›

All substitution ciphers can be cracked by using the following tips:
  1. Scan through the cipher, looking for single-letter words. ...
  2. Count how many times each symbol appears in the puzzle. ...
  3. Pencil in your guesses over the ciphertext. ...
  4. Look for apostrophes. ...
  5. Look for repeating letter patterns.
Mar 26, 2016

What is the hardest substitution cipher? ›

The Playfair cipher is thus significantly harder to break since the frequency analysis used for simple substitution ciphers does not work with it. The frequency analysis of bigrams is possible, but considerably more difficult.

Is substitution cipher perfectly secret? ›

We can see that the Substitution cipher is not perfectly secret, as a ciphertext with repeated letters (obtainable from a message with repeated letters) cannot be obtained from a message with distinct letters. However, it is perfectly secure, if a randomly generated key is used for each letter of the message.

Why are substitution ciphers easy to crack? ›

Table 3.1 shows an example of a substitution cipher. Because some letters appear more often and certain words are used more than others, some ciphers are extremely easy to decrypt and can be deciphered at a glance by more practiced cryptologists.

Can you solve a cypher without a key? ›

Decryption with Caesar cipher

In practice, a good encryption system ensures that the plaintext cannot be obtained from the ciphertext without the key, i.e. it can be decrypted but not cracked.

What is the easiest cipher to decode? ›

In cryptography, a Caesar cipher, also known as Caesar's cipher, the shift cipher, Caesar's code, or Caesar shift, is one of the simplest and most widely known encryption techniques.

What is the hardest cipher code? ›

AES ‍ One of the hardest codes to crack is arguably the US government's Advanced Encryption Standard (aka Rijndael or AES) which the Americans use to protect top-secret information. AES is considered unbreakable by even the most sophisticated hackers.

What are the weakness of substitution cipher? ›

The explanation for this weakness is that the frequency distributions of symbols in the plaintext and in the ciphertext are identical, only the symbols having been relabeled. In fact, any structure or pattern in the plaintext is preserved intact in the ciphertext, so that the cryptanalyst's task is an easy one.

How many possible keys exist for a substitution cipher? ›

' Another—somewhat cryptographically stronger—example of a monoalphabetic substitution cipher is to use an arbitrary permutation of the alphabet, rather than shifting by a certain number. Rather than only 25 possible keys, we have 26!

What is a technique to crack the code of a substitution cipher? ›

One of the most common ways to crack a substitution cipher is to use frequency analysis. This means counting how often each letter appears in the ciphertext and comparing it to the expected frequency of each letter in the language of the plaintext.

What is used as an aid to breaking substitution ciphers? ›

In cryptography, frequency analysis is the study of the frequency of letters or groups of letters in a ciphertext. The method is used as an aid to breaking substitution ciphers (e.g. mono-alphabetic substitution cipher, Caesar shift cipher, Vatsyayana cipher).

What is the key in simple substitution cipher? ›

That's because for substitution cipher the key is defined as a unique replacement of each letter with another one, e.g. A -> D, B -> M, C -> Y, etc.

How do I solve for substitution? ›

SOLVE A SYSTEM OF EQUATIONS BY SUBSTITUTION.
  1. Solve one of the equations for either variable.
  2. Substitute the expression from Step 1 into the other equation.
  3. Solve the resulting equation.
  4. Substitute the solution in Step 3 into one of the original equations to find the other variable.
  5. Write the solution as an ordered pair.
Jul 24, 2021

How to decrypt cypher value? ›

Write down the alphabet in order from A to Z. Replace each letter of the message with the corresponding letter from the new alphabet. For example, if the shift value is 3, the word “hello” would become “khoor”. To decrypt the message, shift each letter back by the same amount.

How do you solve a transposition cipher? ›

To decipher it, the recipient has to work out the column lengths by dividing the message length by the key length. Then, write the message out in columns again, then re-order the columns by reforming the key word.

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