Abstract
We examine 2-dimensional 3-dispersion lattice interleavers in three connectivity models: the rectangular grid with either 4 or 8 neighbors, and the hexagonal grid. We provide tight lower bounds on the interleaving degree in all cases and show lattices which achieve the bounds.
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Abdel-Ghaffar, K.A.S., McEliece, R.J., van Tilborg, H.C.A.: Two-dimensional burst identification codes and their use in burst correction. IEEE Trans. on Inform. Theory 34 (1988) 494–504
Blaum, M., Farrell, P.G.: Array codes for cluster-error correction. Electronic Letters 30 (1994) 1752–1753
Farrell, P.G.: Array codes for correcting cluster-error patterns. In: Proc. IEE Conf. Elect. Signal Processing (York, England). (1982)
Imai, R.M.: Two-dimensional fire codes. IEEE Trans. on Inform. Theory 19 (1973) 796–806
Imai, R.M.: A theory of two-dimensional cyclic codes. Inform. and Control 34 (1977) 1–21
Blaum, M., Bruck, J., Vardy, A.: Interleaving schemes for multidimensional cluster errors. IEEE Trans. on Inform. Theory 44 (1998) 730–743
Etzion, T., Vardy, A.: Two-dimensional interleaving schemes with repetitions: constructions and bounds. IEEE Trans. on Inform. Theory 48 (2002) 428–457
Etzion, T., Schwartz, M., Vardy, A.: Optimal tristance anticodes. manuscript in preparation, October 2002.
Schwartz, M., Etzion, T.: Optimal 2-dimensional 3-dispersion lattices. manuscript in preparation, August 2002.
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© 2003 Springer-Verlag Berlin Heidelberg
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Schwartz, M., Etzion, T. (2003). Optimal 2-Dimensional 3-Dispersion Lattices. In: Fossorier, M., Høholdt, T., Poli, A. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2003. Lecture Notes in Computer Science, vol 2643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44828-4_23
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DOI: https://doi.org/10.1007/3-540-44828-4_23
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