Re: Ternary Encoding :-)

Stefan Claas wrote:

Rich wrote:

Stefan Claas <pollux@tilde.club> wrote:

Stefan Claas wrote:

 
echo 'Happy News Year 2025' | ternary
2112102022020111101010222211010022112012102120110020100021120220
10000111010121200020221000211000220022020
 
$ echo 'Happy News Year 2025' | ternary | ternary -d
Happy News Year 2025
 
(My program works with binary data as well.)
 

 
The nice thing is we can like xor use ternary exclusive or (txor)
to encrypt/decrypt messages. :-)
 
$ echo 'Happy News Year 2025' | ternary > message.txt
$ txor -k k-1.txt < message.txt > message_encrypted.txt
$ txor -k k-1.txt -d < message_encrypted.txt > message_decrypted.txt
$ ternary -d < message_decrypted.txt
Happy News Year 2025

 
How does "ternary exclusive or" differ from the usual boolean xor?

 
The usual Boolean XOR (exclusive or) operation takes two binary inputs
and returns true (1) if exactly one of the inputs is true (1), and false
(0) otherwise.
 
Ternary XOR takes three binary inputs and returns true (1) if an odd
number of the inputs are true (1).

 
XOR:
 
A B  A⊕B
0 0   0
0 1   1
1 0   1
1 1   0
 
Ternary XOR:
 
A B C  A⊕B⊕C
0 0 0     0
0 0 1     1
0 1 0     1
0 1 1     0
1 0 0     1
1 0 1     0
1 1 0     0
1 1 1     1