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Testing the Randomness and Using the Digital Sequences of GF(5) in Cryptography | ||
| AL-MANSOUR JOURNAL | ||
| Article 1, Volume 0, Issue 20, 2017, Pages 145-160 | ||
| Author | ||
| Ayad Ghazi Naser Al-Shammari | ||
| Abstract | ||
| In this paper, first, the Golomb’s postulates of randomness are expanded to construct a good mathematical base, and then expand the binary standard randomness tests to be suitable to be applied on penta-sequences this mean the elements of the sequence belong to Galois Field GF(5). Second we will show usefulness of using penta-sequences in cryptography. The paper also includes some tables describe the tests results of the penta-sequences generated from some digital generators, like the Multiplicative Cyclic Group System (MCGS). The proposed cryptosystem using the GF(5)-sequences will compress or minimizing the ciphertext size comparing with the cryptosystems using GF(2)-sequences. | ||
| Keywords | ||
| Golomb; penta; sequences; MCGS | ||
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