Chang, Anchung ; Gaal, P. ; Golomb, S. W. ; Gong, Guang ; Helleseth, T. ; Vijay Kumar, P. (2000) On a conjectured ideal autocorrelation sequence and a related triple-error correcting cyclic code IEEE Transactions on Information Theory, 46 (2). pp. 680-687. ISSN 0018-9448
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Official URL: http://ieeexplore.ieee.org/document/825842/
Related URL: http://dx.doi.org/10.1109/18.825842
Abstract
In a previous paper, No, Golomb, Gong, Lee and Gaal (see ibid., vol.44, p.814-17, 1998) conjectured that certain binary sequences having a simple trace description possess the ideal autocorrelation property. In the present paper it is shown that each such sequence is balanced and, moreover, that the dual of the linear cyclic code generated by the sequence and its cyclic shifts, is a triple-error correcting code having the same weight distribution as the triple-error correcting Bose-Chaudhuri-Hocquenghem (BCH) code. This cyclic code also contains a cyclic subcode that yields a new family of sequences having the same size and correlation parameters as does the family of Gold sequences.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Electrical and Electronic Engineers. |
| ID Code: | 110287 |
| Deposited On: | 31 Jan 2018 10:42 |
| Last Modified: | 31 Jan 2018 10:42 |
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