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- W2963663220 abstract "Folding a sequence S into a multidimensional box is a method that is used to construct multidimensional codes. The well known operation of folding is generalized in a way that the sequence S can be folded into various shapes. The new definition of folding is based on lattice tiling and a direction in the D-dimensional grid. There are potentially 3 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>D</sup> - 1/2 different folding operations. Necessary and sufficient conditions that a lattice combined with a direction define a folding are given. The immediate and most impressive application is some new lower bounds on the number of dots in two-dimensional synchronization patterns. This can be also generalized for multidimensional synchronization patterns. We show how folding can be used to construct multidimensional error-correcting codes and to generate multidimensional pseudo-random arrays." @default.
- W2963663220 created "2019-07-30" @default.
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- W2963663220 date "2009-01-01" @default.
- W2963663220 modified "2023-09-27" @default.
- W2963663220 title "Folding, tiling, and multidimensional coding" @default.
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- W2963663220 doi "https://doi.org/10.1109/itw.2009.5351265" @default.
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