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On DNA Codes using the Ring Z4 + wZ4
Published 20 Nov 2017 in cs.IT, math.IT, and math.RA | (1711.07324v2)
Abstract: In this work, we study the DNA codes from the ring R = Z4 + wZ4, where w2 = 2+2w with 16 elements. We establish a one to one correspondence between the elements of the ring R and all the DNA codewords of length 2 by defining a distance-preserving Gau map phi. Using this map, we give several new classes of the DNA codes which satisfies reverse and reverse complement constraints. Some of the constructed DNA codes are optimal.
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