A block encryption algorithm based on exponentiation transform

Figures & data

Table 1. View of the $GF\left(2^3\right)$ elements generated by $p\left(x\right)=x^3+x+1$

Power representation ind	Polynomial representation$a\left(x\right)$
${\alpha }^0$	1
${\alpha }^1$	$x$
${\alpha }^2$	$x^2$
${\alpha }^3$	$x+1$
${\alpha }^4$	$x^2+x$
${\alpha }^5$	$x^2+x+1$
${\alpha }^6$	$x^2+1$

Table 2. S-box substitution table

	0	1	2	3	4	5	6	7	8	9	A	B	C	D	E	F
0	01	1B	34	5E	D4	65	13	EC	8 F	C6	92	A8	74	C9	B	F5
1	8D	F0	FA	14	AD	03	2D	5 C	E2	D	AF	35	45	E0	3B	C7
2	89	9 C	2A	1D	6E	E6	61	7 F	3 C	86	05	77	E4	57	17	80
3	5 F	CF	51	4D	38	EA	D5	7E	27	B2	5B	A3	81	44	FB	F
4	99	5D	F9	39	F1	E1	20	F3	D7	48	4 F	E	82	69	A7	ED
5	94	F2	CC	7 C	11	DA	E7	7A	4B	62	52	60	64	08	D8	D1
6	12	F7	BB	98	46	CD	67	25	84	33	1 F	58	8E	DD	A6	F6
7	A0	AC	18	19	02	36	68	BC	D9	CA	26	A9	6 F	FD	55	21
8	E8	E3	16	9B	6B	91	85	28	2B	06	5A	B8	B5	1A	2 F	6A
9	8A	B1	76	FF	63	49	54	3A	DC	BD	C2	FE	78	7D	A	EE
A	B9	AE	2E	71	BE	EF	A2	9A	70	A5	DB	FC	4E	15	B6	37
B	73	88	87	1E	43	BA	83	72	93	B3	40	97	DF	90	9E	1 C
C	75	D2	3 F	AB	59	95	E9	F8	22	C5	BF	F4	96	C4	A4	C0
D	C8	10	C1	D3	24	9 F	07	41	8 C	EB	CE	4A	79	66	3E	B0
E	6D	CB	3D	9D	31	29	30	32	04	6 C	D0	09	C3	E5	4 C	23
F	DE	8B	AA	42	A1	B7	2 C	47	D6	53	7B	50	56	C	B4	00

Figure 1. Flow chart of the symmetric block data encryption algorithm based on EM.

Figure 2. Flow chart of the symmetric block data decryption algorithm based on EM.

Table 3. Plaintext files used in testing the encryption algorithm

File No.	File ext.	Description	Size
1	docx	Microsoft Word Document	231 KB
2	xls	Microsoft Excel 97–2003 Spreadsheet	20.0 KB
3	pptx	Microsoft PowerPoint Presentation	2.95 MB
4	pdf	PDF document	7.3 MB
5	rar	RAR archive	2.23 MB
6	zip	Zip file	339 KB
7	jpg	Joint Photographic Experts Group	856 KB
8	png	Corel PaintShop Photo Pro Browser Directory	1.1 MB
9	txt	Text file	78.1 KB
10	gif	Graphics Interchange Format	548 KB

Figure 3. Graphical testing results.

Figure 4. Assessment testing results.

Table 4. Linear and differential cryptanalysis results

Algorithm		Minimum	Maximum	Chi-square	Degree of freedom
DES	Linear	12	48	480	944
	Differential	0	16	20,514	1,007
Magma (GOST R34.13–2015)	Linear	4	12	120	224
	Differential	0	4	384	239
Kuznyechik (GOST R34.13–2015)	Linear	100	156	32,640	65,024
	Differential	0	8	111,297	65,279
AES-128	Linear	111	145	32,639	65,024
	Differential	0	5	67,123	65,279
Block encryption algorithm developed from EM transformation	Linear	100	156	32,640	65,024
	Differential	0	8	111,960	65,279