   Chapter 8, Problem 15T Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Encryption Decode the message UTSTG DPFM that was encrypted using the congruence c ≡ ( 3 p + 5 ) mod 26 .

To determine

To decode: The given message which is encrypted using the given congruence.

Explanation

Given:

c(3p+5)mod26

UTSTG DPFM

Calculation:

c(3p+5)mod26c=3p+5c5=3p9(c5)=93p9(c5)=27p9(c5)=phere,15 is the multiplicative inverse of  7 in mod 26p9(c5)mod26

Here, c is the number equivalent to the cipher text letter.

Up9(215)mod26144mod2614NTp9(205)mod26<

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