Cryptanalysis and Performance Evaluation of Enhanced Threshold Proxy Signature Scheme Based on RSA for Known Signers

Table 17

*	Schemes	HLL	Frequency 1	KUOCHEN	Frequency 2	GENGVRF	Frequency 3	FNGVERF	Frequency 4	THRSPROX	Frequency 5
No.	Substring	Frequency; (in %)	Frequency	Frequency; (in %)	Frequency	Frequency; (in %)	Frequency	Frequency; (in %)	Frequency	Frequency; (in %)	Frequency
1	N	11.0343	654	11.3387	631	10.9658	587	10.947	630	11.5549	891
2	I	9.1277	541	8.841	492	9.4153	504	9.1573	527	8.7278	673
3	T	8.824	523	8.6253	480	9.079	486	8.7576	504	8.5981	663
4	E	8.6216	511	8.4636	471	8.3878	449	8.3927	483	8.5722	661
5	S	7.4405	441	7.8886	439	7.9208	424	8.2711	476	8.3258	642
6	R	7.1368	423	7.044	392	7.1175	381	6.9505	400	6.6399	512
7	A	5.0785	301	4.8697	271	4.7076	252	4.7089	271	5.4597	421
8	O	4.6567	276	4.6361	258	4.5769	245	4.6568	268	4.539	350
9	C	4.1842	248	4.4205	246	3.9978	214	4.066	234	4.3963	339
10	D	3.6612	217	3.8455	214	3.6802	197	3.8401	221	3.696	285
11	U	3.5937	213	3.2884	183	3.5681	191	3.5274	203	3.4626	267
12	F	3.2732	194	3.2165	179	3.5494	190	3.5274	203	3.3329	257
13	P	3.1213	185	3.1626	176	3.4747	186	3.4231	197	3.307	255
14	G	3.0707	182	3.0189	168	2.989	160	3.3189	191	3.1384	242
15	L	3.0201	179	2.9111	162	2.8956	155	2.7454	158	3.0865	238
16	H	2.8682	170	2.8392	158	2.7835	149	2.6933	155	2.5937	200
17	Y	2.6489	157	2.6954	150	2.3538	126	2.6759	154	2.3603	182
18	M	2.4296	144	1.8509	103	1.8121	97	1.7724	102	1.8934	146
19	X	1.4341	85	1.4196	79	1.4945	80	1.4248	82	1.634	126
20	V	1.0798	64	1.2579	70	1.3824	74	1.1816	68	1.2061	93
21	W	0.9954	59	1.15	64	0.9714	52	1.0252	59	0.83	64
22	J	0.8267	49	1.0422	58	0.8967	48	0.8862	51	0.817	63
23	B	0.7761	46	0.9164	51	0.7659	41	0.8688	50	0.7522	58
24	K	0.6917	41	0.7907	44	0.7286	39	0.7298	42	0.7133	55
25	Q	0.3374	20	0.3953	22	0.411	22	0.3823	22	0.3112	24
26	Z	0.0675	4	0.0719	4	0.0747	4	0.0695	4	0.0519	4