Hill Cipher solver calculator (encoder / decoder)

SolutionHelp

Solution

Solution provided by AtoZmath.com

1. ABCD efghi

2. hello world

Example

1. Hill Cipher encoder

Text : ABCD efghi
KeyMatrix : 2,3;5,7
Padding Character : z

Solution:

The Hill cipher is a polygraphic substitution cipher that uses linear algebra and matrix multiplication for encryption

Letter	a	b	c	d	e	f	g	h	i	j	k	l	m	n	o	p	q	r	s	t	u	v	w	x	y	z
Number	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25

KeyMatrix = 2,3;5,7
Plaintext = abcdefghi
Split into pairs of 2-letters
ab cd ef gh i

Pad at end if necessary, to make pair of 2-letters
ab cd ef gh iz

	2	3
	5	7

`xx`

	a
	b

	2	3
	5	7

`xx`

	0
	1

	3
	7

mod 26

	3
	7

	d
	h

	2	3
	5	7

`xx`

	c
	d

	2	3
	5	7

`xx`

	2
	3

	13
	31

mod 26

	13
	5

	n
	f

	2	3
	5	7

`xx`

	e
	f

	2	3
	5	7

`xx`

	4
	5

	23
	55

mod 26

	23
	3

	x
	d

	2	3
	5	7

`xx`

	g
	h

	2	3
	5	7

`xx`

	6
	7

	33
	79

mod 26

	7
	1

	h
	b

	2	3
	5	7

`xx`

	i
	z

	2	3
	5	7

`xx`

	8
	25

	91
	215

mod 26

	13
	7

	n
	h

Plaintext	: abcdefghiz
Ciphertext	: dhnfxdhbnh

2. Hill Cipher encoder

Text : hello world
KeyMatrix : 2,3;5,7
Padding Character : z

Solution:

The Hill cipher is a polygraphic substitution cipher that uses linear algebra and matrix multiplication for encryption

Letter	a	b	c	d	e	f	g	h	i	j	k	l	m	n	o	p	q	r	s	t	u	v	w	x	y	z
Number	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25

KeyMatrix = 2,3;5,7
Plaintext = helloworld
Split into pairs of 2-letters
he ll ow or ld

	2	3
	5	7

`xx`

	h
	e

	2	3
	5	7

`xx`

	7
	4

	26
	63

mod 26

	0
	11

	a
	l

	2	3
	5	7

`xx`

	l
	l

	2	3
	5	7

`xx`

	11
	11

	55
	132

mod 26

	3
	2

	d
	c

	2	3
	5	7

`xx`

	o
	w

	2	3
	5	7

`xx`

	14
	22

	94
	224

mod 26

	16
	16

	q
	q

	2	3
	5	7

`xx`

	o
	r

	2	3
	5	7

`xx`

	14
	17

	79
	189

mod 26

	1
	7

	b
	h

	2	3
	5	7

`xx`

	l
	d

	2	3
	5	7

`xx`

	11
	3

	31
	76

mod 26

	5
	24

	f
	y

Plaintext	: helloworld
Ciphertext	: aldcqqbhfy