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kolezko [41]
2 years ago
12

Use the encrypting congruence c ≡ (7p + 12) mod 26 to code the message PARALLEL LINES.

Mathematics
1 answer:
IRISSAK [1]2 years ago
4 0

Answer:  PARALLEL LINES  should be coded as "TSHSRRUR RWFUO"

Step-by-step explanation:

Since we have given that

PARALLEL LINES

As we know that according to alphabets,

P is at 16

A is at 1

R is at 18

L is at 12

E is at 5

N is at 14

S is at 19

And we have given that

c \equiv(7p+12)\ mod 26

So, P becomes :

c\equiv (7\times 16+12)\ mod\ 26=124\ mod\ 26=20\ mod\ 26=T

A becomes

c\equiv (7\times 1+12)\ mod\ 26=19\ mod\ 26=S

S becomes

c\equiv (7\times 19+12)\ mod\ 26=145\ mod\ 26=15\ mod\ 26=O

L becomes

c\equiv (7\times 12+12)\ mod\ 26=96\ mod\ 26=18\ mod\ 26=R

E becomes

c\equiv (7\times 5+12)\ mod\ 26=47\ mod\ 26=21\ mod\ 26=U

I becomes

c\equiv (7\times 9+12)\ mod\ 26=75\ mod\ 26=23\ mod\ 26=W

N becomes

c\equiv (7\times 14+12)\ mod\ 26=110\ mod\ 26=6\ mod\ 26=F

R becomes

c\equiv (7\times 18+12)\ mod\ 26=138\ mod\ 26=8\ mod\ 26=H

Hence, PARALLEL LINES  should be coded as "TSHSRRUR RWFUO"

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