Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Feedback Capacity-Achieving Coding Scheme for the $(d,\infty)$-RLL
  Input-Constrained Binary Erasure Channel   This paper considers the memoryless input-constrained binary erasure channel
(BEC). The channel input constraint is the $(d,\infty)$-runlength limited (RLL)
constraint, which mandates that any pair of successive $1$s in the input
sequence be separated by at least $d$ $0$s. We consider a scenario where there
is causal, noiseless feedback from the decoder. We demonstrate a simple,
labelling-based, zero-error feedback coding scheme, which we prove to be
feedback capacity-achieving, and, as a by-product, obtain an explicit
characterization of the feedback capacity. Our proof is based on showing that
the rate of our feedback coding scheme equals an upper bound on the feedback
capacity derived using the single-letter bounding techniques of Sabag et al.
(2017). Further, we note using the tools of Thangaraj (2017) that there is a
gap between the feedback and non-feedback capacities of the $(d,\infty)$-RLL
input constrained BEC, at least for $d=1,2$.

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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga