Computer Science > Information Theory
[Submitted on 20 Nov 2017 (v1), last revised 9 Jan 2018 (this version, v2)]
Title:On DNA Codes using the Ring Z4 + wZ4
View PDFAbstract:In this work, we study the DNA codes from the ring R = Z4 + wZ4, where w^2 = 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.
Submission history
From: Manish Gupta [view email][v1] Mon, 20 Nov 2017 14:42:06 UTC (318 KB)
[v2] Tue, 9 Jan 2018 16:01:30 UTC (311 KB)
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