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TY - JOUR TI - Testing the Randomness and Using the Digital Sequences of GF(5) in Cryptography PY - %2022/%11/%25 Y2 - %2025/%12/%22 JF - Al-Mansour Journal JA - مجلة المنصور VL - 20 IS - 1 LA - en KW - Golomb’s postulates KW - penta-sequences KW - GF(5) KW - (MCGS) UR - https://journal.muc.edu.iq/journal/article/view/249 SP - 145-160 AB - 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 sometables 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 ciphertextsize comparing with the cryptosystems using GF(2)-sequences. ER -