Ilya Dumer

Publication Activity (10 Years)

Years Active: 1991-2021
Publications (10 Years): 18

Top Topics

Decoding Algorithm

Error Correction

Top Venues

IEEE Trans. Inf. Theory

Publications

Ilya Dumer, Navid Gharavi
Codes approaching the Shannon limit with polynomial complexity per information bit. CoRR (2021)
Ilya Dumer, Navid Gharavi
Codes approaching the Shannon limit with polynomial complexity per information bit. ISIT (2021)
Ilya Dumer, Navid Gharavi
Combined polar-LDPC design for channels with high noise. ITW (2021)
Ilya Dumer, Navid Gharavi
Codes for high-noise memoryless channels. ISITA (2020)
Alexey A. Kovalev, Sanjay Prabhakar, Ilya Dumer, Leonid P. Pryadko
Numerical and analytical bounds on threshold error rates for hypergraph-product codes. CoRR (2018)
Ilya Dumer, Kirill Shabunov
Soft decision decoding of Reed-Muller codes: recursive lists. CoRR (2017)
Ilya Dumer, Olga Kapralova
Spherically Punctured Reed-Muller Codes. IEEE Trans. Inf. Theory 63 (5) (2017)
Ilya Dumer
Recursive Decoding and Its Performance for Low-Rate Reed-Muller Codes. CoRR (2017)
Ilya Dumer
Polar codes with a stepped boundary. ISIT (2017)
Ilya Dumer
Polar codes with a stepped boundary. CoRR (2017)
Ilya Dumer
On decoding algorithms for polar codes. CoRR (2017)
Ilya Dumer, Kirill Shabunov
Recursive List Decoding for Reed-Muller Codes. CoRR (2017)
Ilya Dumer, Kirill Shabunov
Recursive constructions and their maximum likelihood decoding. CoRR (2017)
Ilya Dumer
Recursive decoding of Reed-Muller codes. CoRR (2017)
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Distance Verification for Classical and Quantum LDPC Codes. IEEE Trans. Inf. Theory 63 (7) (2017)
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Distance verification for classical and quantum LDPC codes. CoRR (2016)
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Distance verification for LDPC codes. ISIT (2016)
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Distance verification for LDPC codes. CoRR (2016)
Ilya Dumer
Mixed polarized constructions. Int. J. Inf. Coding Theory 3 (2) (2015)
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Numerical techniques for finding the distances of quantum codes. ISIT (2014)
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Numerical Techniques for Finding the Distances of Quantum Codes. CoRR (2014)
Olga Kapralova, Ilya Dumer
Spherically punctured Reed-Muller codes. ISIT (2013)
Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko
Linked-cluster technique for finding the distance of a quantum LDPC code. ITA (2013)
Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko
Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code CoRR (2013)
Ilya Dumer, Olga Kapralova
Spherically Punctured Biorthogonal Codes. IEEE Trans. Inf. Theory 59 (9) (2013)
Ilya Dumer, Olga Kapralova
Spherically punctured biorthogonal codes. ISIT (2012)
Ilya Dumer, Grigory Kabatiansky, Cédric Tavernier
Soft-decision list decoding of Reed-Muller codes with linear complexity. ISIT (2011)
Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko
Clustered bounded-distance decoding of codeword-stabilized quantum codes. ISIT (2010)
Marat V. Burnashev, Ilya Dumer
Error exponents for two soft-decision decoding algorithms of Reed-Muller codes. IEEE Trans. Inf. Theory 55 (9) (2009)
Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko
Structured Error Recovery for Codeword-Stabilized Quantum Codes. CoRR (2009)
Ilya Dumer
Equal-Weight Fingerprinting Codes. IWCC (2009)
Ilya Dumer, Gregory A. Kabatiansky, Cédric Tavernier
List Decoding of Biorthogonal Codes and the Hadamard Transform With Linear Complexity. IEEE Trans. Inf. Theory 54 (10) (2008)
N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer
On the Fingerprinting Capacity Under the Marking Assumption. IEEE Trans. Inf. Theory 54 (6) (2008)
Marat V. Burnashev, Ilya Dumer
Error exponents for two soft decision decoding algorithms of Reed-Muller codes. ISIT (2008)
Ilya Dumer, Gregory A. Kabatiansky, Cédric Tavernier
List decoding of the first-order binary Reed-Muller codes. Probl. Inf. Transm. 43 (3) (2007)
Ilya Dumer
Covering Spheres with Spheres. Discret. Comput. Geom. 38 (4) (2007)
N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer
Fingerprinting Capacity Under the Marking Assumption. ISIT (2007)
Ilya Dumer, Grigory Kabatiansky, Cédric Tavernier
Soft-Decision List Decoding with Linear Complexity for the First-Order Reed-Muller Codes. ISIT (2007)
Ilya Dumer
Covering spheres and balls with smaller balls. ISIT (2006)
Ilya Dumer
Soft-decision decoding of Reed-Muller codes: a simplified algorithm. IEEE Trans. Inf. Theory 52 (3) (2006)
Ilya Dumer, Kirill Shabunov
Soft-decision decoding of Reed-Muller codes: recursive lists. IEEE Trans. Inf. Theory 52 (3) (2006)
Ilya Dumer
Covering an ellipsoid with equal balls. J. Comb. Theory, Ser. A 113 (8) (2006)
Marat V. Burnashev, Ilya Dumer
Error Exponents for Recursive Decoding of Reed-Muller Codes on a Binary-Symmetric Channel. IEEE Trans. Inf. Theory 52 (11) (2006)
Ilya Dumer, Grigory Kabatiansky, Cédric Tavernier
List decoding of Reed-Muller codes up to the Johnson bound with almost linear complexity. ISIT (2006)
Marat V. Burnashev, Ilya Dumer
Error exponents for recursive decoding of Reed-Muller codes. ISIT (2006)
Ilya Dumer, Kirill Shabunov
Recursive error correction for general Reed-Muller codes. Discret. Appl. Math. 154 (2) (2006)
N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer
On the Fingerprinting Capacity Under the Marking Assumption CoRR (2006)
Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov
On the Thinnest Coverings of Spheres and Ellipsoids with Balls in Hamming and Euclidean Spaces. GTIT-C (2006)
Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov
On the thinnest coverings of spheres and ellipsoids with balls in Hamming and Euclidean spaces. Electron. Notes Discret. Math. 21 (2005)
Sergey Yekhanin, Ilya Dumer
Long nonbinary codes exceeding the Gilbert-Varshamov bound for any fixed distance. IEEE Trans. Inf. Theory 50 (10) (2004)
Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov
On the thinnest coverings of ellipsoids. ISIT (2004)
Ilya Dumer
Recursive decoding and its performance for low-rate Reed-Muller codes. IEEE Trans. Inf. Theory 50 (5) (2004)
Sergey Yekhanin, Ilya Dumer
Long Nonbinary Codes Exceeding the Gilbert - Varshamov Bound for any Fixed Distance CoRR (2004)
Ilya Dumer
On polylogarithmic decoding complexity for reed-muller codes. ISIT (2004)
Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov
On coverings of ellipsoids in Euclidean spaces. IEEE Trans. Inf. Theory 50 (10) (2004)
Ilya Dumer
On recursive decoding with sublinear complexity for Reed-Muller codes. ITW (2003)
Ilya Dumer, Daniele Micciancio, Madhu Sudan
Hardness of approximating the minimum distance of a linear code. IEEE Trans. Inf. Theory 49 (1) (2003)
Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov
An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a Hamming Space. Probl. Inf. Transm. 38 (2) (2002)
Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov
Epsilon-entropy of an Ellipsoid in a Hamming Space. Probl. Inf. Transm. 38 (1) (2002)
Ilya Dumer
Soft-decision decoding using punctured codes. IEEE Trans. Inf. Theory 47 (1) (2001)
Ilya Dumer, Rafail E. Krichevskiy
oft-decision majority decoding of Reed-Muller codes. IEEE Trans. Inf. Theory 46 (1) (2000)
Ilya Dumer
Ellipsoidal lists and maximum-likelihood decoding. IEEE Trans. Inf. Theory 46 (2) (2000)
Ilya Dumer
Sort-and-match algorithm for soft-decision decoding. IEEE Trans. Inf. Theory 45 (7) (1999)
Ilya Dumer, Daniele Micciancio, Madhu Sudan
Hardness of Approximating the Minimum Distance of a Linear Code. FOCS (1999)
Ilya Dumer, Daniele Micciancio, Madhu Sudan
Hardness of Approximating the Minimum Distance of a Linear Code Electron. Colloquium Comput. Complex. 6 (29) (1999)
Ilya Dumer
Correction to 'Suboptimal decoding of linear codes: Partition technique' [Nov 96 1971-1986]. IEEE Trans. Inf. Theory 43 (2) (1997)
Ilya Dumer
Suboptimal decoding of linear codes: partition technique. IEEE Trans. Inf. Theory 42 (6) (1996)
Ilya Dumer
Nonbinary double-error-correcting codes designed by means of algebraic varieties. IEEE Trans. Inf. Theory 41 (6) (1995)
Ilya Dumer, Patrick Guy Farrell
Erasure Correction Performance of Linear Block Codes. Algebraic Coding (1993)
Alexander Barg, Ilya Dumer
On computing the weight spectrum of cyclic codes. IEEE Trans. Inf. Theory 38 (4) (1992)
Ilya Dumer
On Nonbinary Codes with Fixed Distance. Algebraic Coding (1991)