How Do I Find the Decryption Function for C = (7M + 9) mod 26?

  • Thread starter Thread starter stunner5000pt
  • Start date Start date
  • Tags Tags
    Linear
AI Thread Summary
To find the decryption function for C = (7M + 9) mod 26, the key is to determine the multiplicative inverse of 7 in the group U(26). The multiplicative inverse is a number that, when multiplied by 7, yields 1 modulo 26. In this case, the inverse is 15, which can be verified through calculations. Once the inverse is established, it can be applied to rearrange the equation to solve for M. Understanding these steps is crucial for successfully decrypting the message.
stunner5000pt
Messages
1,443
Reaction score
4
another little bit of help and this is NOT a homework assignment this is for an exam i need to understand it

the qustion is find the decryption function for C = (7M + 9 ) mod 26

how do i fin the decryption function using the inverse?


that is 15 in this case
 
Mathematics news on Phys.org
the same way you do it for any other equation:
you've just got to find what the multiplicative inverse of 7 is in U(26)
I don't see where 15 comes from.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top