Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Snake-in-the-Box Codes for Rank Modulation   Motivated by the rank-modulation scheme with applications to flash memory, we
consider Gray codes capable of detecting a single error, also known as
snake-in-the-box codes. We study two error metrics: Kendall's $\tau$-metric,
which applies to charge-constrained errors, and the $\ell_\infty$-metric, which
is useful in the case of limited magnitude errors. In both cases we construct
snake-in-the-box codes with rate asymptotically tending to 1. We also provide
efficient successor-calculation functions, as well as ranking and unranking
functions. Finally, we also study bounds on the parameters of such codes.

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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex