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All Journal Jurnal Matematika: MANTIK
Ari Dwi Hartanto
Universitas Gadjah Mada, Yogyakarta, Indonesia
Mathematics

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Binary Cyclic Pearson Codes Ari Dwi Hartanto; Al. Sutjijana
Jurnal Matematika MANTIK Vol. 7 No. 1 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.1.1-8

Abstract

The phenomena of unknown gain or offset on communication systems and modern storages such as optical data storage and non-volatile memory (flash) becomes a serious problem. This problem can be handled by Pearson distance applied to the detector because it offers immunity to gain and offset mismatch. This distance can only be used for a specific set of codewords, called Pearson codes. An interesting example of Pearson code can be found in T-constrained code class. In this paper, we present binary 2-constrained codes with cyclic property. The construction of this code is adopted from cyclic codes, but it cannot be considered as cyclic codes.
Co-Authors Al. Sutjijana