Commenced in January 2007
Paper Count: 32146
Squaring Construction for Repeated-Root Cyclic Codes
Abstract:We considered repeated-root cyclic codes whose block length is divisible by the characteristic of the underlying field. Cyclic self dual codes are also the repeated root cyclic codes. It is known about the one-level squaring construction for binary repeated root cyclic codes. In this correspondence, we introduced of two level squaring construction for binary repeated root cyclic codes of length 2a b , a > 0, b is odd.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076982Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1425
 E. Rains and N.J.A. Sloane, "Self-dual codes," in Handbook of Coding Theory, V.S. Pless and W.C. Huffman (Editors), Elsevier, Amsterdam, pp. 177-294, 1998.
 J. H. Conway and V. Pless, "On the enumeration of self-dual codes," J. Combinatorial Theory, 28A, 26-53, 1980.
 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, New York: North Holland, 1978.
 V. Pless and N. J. A. Sloane, "On the classi_cation and enumeration of self-dual codes," J. Combinational Theory,18A 313-335, 1975.
 Carmen-Simona Nedeloaia, "Weight Distribution of Cyclic Self-Dual Codes," IEEE Transactions on Information Theory, vol. 49, no.6 pp 1582-1591, June 2003.
 N. J. A. Sloane and J. G. Thompson, "Cyclic self-dual codes," IEEE Trans. Inform. Theory, vol. IT-29, no. 3, pp. 364-366, May 1983.
 J. H. van Lint, "Repeated-root cyclic codes," IEEE Trans. Inform. Theory, vol. 37, no. 2, pp. 343-345, Mar. 1991.
 G. Castagnoli, J. L. Massey, Ph. A. Shoeller, and N. von Seemann, "On repeated-root cyclic codes," IEEE Trans. Inform. Theory, vol. 37, no. 2, pp. 337-342, Mar. 1991.
 W.Cary Huffman and Vera Pless, Fundamentals of Error-Corrrecting Codes, Cambridge university press, 2003.
 V. Pless, Introduction to the Theory of Error Correcting Codes, 3rd ed. New York: Wiley, 1998.
 Bas Heijne, "Cyclic Self-Dual Codes", Master's Thesis Rijksuniversiteit Groningen, 7 MAY 2007, http://scripties.fwn.eldoc.ub.rug.nl/FILES/scripties/Wiskunde/Masters /2007/Heijne.B./Bas Heijne doctoraal WM 2007.pdf
 E.J.H. Brandenburg , "Finding the Minimal Distance of Cyclic Self-Dual Codes", Bachelor-s Thesis Rijksuniversiteit Groningen, March 2009,