NDLI: List decoding subspace codes from insertions and deletions

Content Provider	ACM Digital Library
Author	Wang, Carol Guruswami, Venkatesan Narayanan, Srivatsan
Abstract	We present a construction of subspace codes along with an efficient algorithm for list decoding from both insertions and deletions, handling an information-theoretically maximum fraction of these with polynomially small rate. Our construction is based on a variant of the folded Reed-Solomon codes in the world of linearized polynomials, and the algorithm is inspired by the recent linear-algebraic approach to list decoding [4]. Ours is the first list decoding algorithm for subspace codes that can handle deletions; even one deletion can totally distort the structure of the basis of a subspace and is thus challenging to handle. When there are only insertions, we also present results for list decoding subspace codes that are the linearized analog of Reed-Solomon codes (proposed in [15, 8], and closely related to the Gabidulin codes for rank-metric coding), obtaining some improvements over similar results in [10].
Starting Page	183
Ending Page	189
Page Count	7
File Format	PDF
ISBN	9781450311151
DOI	10.1145/2090236.2090252
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2012-01-08
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Codes over grassmanians Folded reed-solomon codes List error-correction Linearized polynomials Network coding Gabidulin codes
Content Type	Text
Resource Type	Article

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List decoding subspace codes from insertions and deletions