Novel Stream Ciphering Algorithm for Big Data Images Using Zeckendorf Representation

Algorithm 1

Pseudorandom keystream generation algorithm.

Require: A pair of key, ; message length, ;

Ensure: Keystream, ;

1: //initialize;

2: ;

3: ;

4: for to do

5: 

6:   Generate integral sequences

7: 

8: ;

9: ;

10: 

11:  Convert into Zeckendorf representations

12: 

13: ;

14: ;

15: 

16:  Intercept midsection

17: 

18: fordo

19:  //Count the number of 1 in sequence;

20:  Count;

21:  //Determine the middle-section;

22:  ;

23:  ;

24:  //Intercept;

25:  ;

26: end for

27: 

28:   Bitwise OR

29: 

30:  OR

31: 

32:   Take random piece (of length )

33: 

34: ;

35: ;

36: 

37: end for

38: Return;