Re: Ternary Encoding :-)

Stefan Claas <pollux@tilde.club> wrote:

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

 Or simply "even parity".
 https://en.wikipedia.org/wiki/Parity_bit