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ORCIDIlya Dumer
Person information
- affiliation: University of California, Riverside, Department of Electrical and Computer Engineering, CA, USA
- affiliation (PhD 1981): Russian Academy Sciences, Institute Information Transmission Problems, Russia
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Journal Articles
- 2017
[j29]Ilya Dumer
, Olga Kapralova:
Spherically Punctured Reed-Muller Codes. IEEE Trans. Inf. Theory 63(5): 2773-2780 (2017)- [j28]Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko:
Distance Verification for Classical and Quantum LDPC Codes. IEEE Trans. Inf. Theory 63(7): 4675-4686 (2017) - 2015
- [j27]Ilya Dumer:
Mixed polarized constructions. Int. J. Inf. Coding Theory 3(2): 97-106 (2015) - 2013
- [j26]Ilya Dumer, Olga Kapralova:
Spherically Punctured Biorthogonal Codes. IEEE Trans. Inf. Theory 59(9): 6010-6017 (2013) - 2009
- [j25]Marat V. Burnashev, Ilya Dumer:
Error exponents for two soft-decision decoding algorithms of Reed-Muller codes. IEEE Trans. Inf. Theory 55(9): 4108-4118 (2009) - 2008
- [j24]N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer:
On the Fingerprinting Capacity Under the Marking Assumption. IEEE Trans. Inf. Theory 54(6): 2678-2689 (2008) - [j23]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): 4488-4492 (2008) - 2007
- [j22]Ilya Dumer:
Covering Spheres with Spheres. Discret. Comput. Geom. 38(4): 665-679 (2007) - [j21]Ilya Dumer, Gregory A. Kabatiansky, Cédric Tavernier:
List decoding of the first-order binary Reed-Muller codes. Probl. Inf. Transm. 43(3): 225-232 (2007) - 2006
- [j20]Ilya Dumer, Kirill Shabunov:
Recursive error correction for general Reed-Muller codes. Discret. Appl. Math. 154(2): 253-269 (2006) - [j19]Ilya Dumer:
Covering an ellipsoid with equal balls. J. Comb. Theory A 113(8): 1667-1676 (2006) - [j18]Ilya Dumer:
Soft-decision decoding of Reed-Muller codes: a simplified algorithm. IEEE Trans. Inf. Theory 52(3): 954-963 (2006) - [j17]Ilya Dumer, Kirill Shabunov:
Soft-decision decoding of Reed-Muller codes: recursive lists. IEEE Trans. Inf. Theory 52(3): 1260-1266 (2006) - [j16]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): 4880-4891 (2006) - 2005
- [j15]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: 277 (2005) - 2004
- [j14]Ilya Dumer:
Recursive decoding and its performance for low-rate Reed-Muller codes. IEEE Trans. Inf. Theory 50(5): 811-823 (2004) - [j13]Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov:
On coverings of ellipsoids in Euclidean spaces. IEEE Trans. Inf. Theory 50(10): 2348-2356 (2004) - [j12]Sergey Yekhanin, Ilya Dumer:
Long nonbinary codes exceeding the Gilbert-Varshamov bound for any fixed distance. IEEE Trans. Inf. Theory 50(10): 2357-2362 (2004) - 2003
- [j11]Ilya Dumer, Daniele Micciancio, Madhu Sudan:
Hardness of approximating the minimum distance of a linear code. IEEE Trans. Inf. Theory 49(1): 22-37 (2003) - 2002
- [j10]Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov:
Epsilon-entropy of an Ellipsoid in a Hamming Space. Probl. Inf. Transm. 38(1): 1-15 (2002) - [j9]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): 99-112 (2002) - 2001
- [j8]Ilya Dumer:
Soft-decision decoding using punctured codes. IEEE Trans. Inf. Theory 47(1): 59-71 (2001) - 2000
- [j7]Ilya Dumer, Rafail E. Krichevskiy:
oft-decision majority decoding of Reed-Muller codes. IEEE Trans. Inf. Theory 46(1): 258-264 (2000) - [j6]Ilya Dumer:
Ellipsoidal lists and maximum-likelihood decoding. IEEE Trans. Inf. Theory 46(2): 649-656 (2000) - 1999
- [j5]Ilya Dumer:
Sort-and-match algorithm for soft-decision decoding. IEEE Trans. Inf. Theory 45(7): 2333-2338 (1999) - 1997
- [j4]Ilya Dumer:
Correction to 'Suboptimal decoding of linear codes: Partition technique' [Nov 96 1971-1986]. IEEE Trans. Inf. Theory 43(2): 792 (1997) - 1996
- [j3]Ilya Dumer:
Suboptimal decoding of linear codes: partition technique. IEEE Trans. Inf. Theory 42(6): 1971-1986 (1996) - 1995
- [j2]Ilya Dumer:
Nonbinary double-error-correcting codes designed by means of algebraic varieties. IEEE Trans. Inf. Theory 41(6): 1657-1666 (1995) - 1992
- [j1]Alexander Barg, Ilya Dumer:
On computing the weight spectrum of cyclic codes. IEEE Trans. Inf. Theory 38(4): 1382-1386 (1992)
Conference and Workshop Papers
- 2021
- [c25]Ilya Dumer, Navid Gharavi:
Codes approaching the Shannon limit with polynomial complexity per information bit. ISIT 2021: 238-243 - [c24]Ilya Dumer, Navid Gharavi:
Combined polar-LDPC design for channels with high noise. ITW 2021: 1-6 - 2020
- [c23]Ilya Dumer, Navid Gharavi:
Codes for high-noise memoryless channels. ISITA 2020: 101-105 - 2017
- [c22]Ilya Dumer:
Polar codes with a stepped boundary. ISIT 2017: 2613-2617 - 2016
- [c21]Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko:
Distance verification for LDPC codes. ISIT 2016: 2529-2533 - 2014
- [c20]Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko:
Numerical techniques for finding the distances of quantum codes. ISIT 2014: 1086-1090 - 2013
- [c19]Olga Kapralova, Ilya Dumer:
Spherically punctured Reed-Muller codes. ISIT 2013: 1047-1051 - [c18]Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko:
Linked-cluster technique for finding the distance of a quantum LDPC code. ITA 2013: 1-6 - 2012
- [c17]Ilya Dumer, Olga Kapralova:
Spherically punctured biorthogonal codes. ISIT 2012: 259-263 - 2011
- [c16]Ilya Dumer, Grigory Kabatiansky, Cédric Tavernier:
Soft-decision list decoding of Reed-Muller codes with linear complexity. ISIT 2011: 2303-2307 - 2010
- [c15]Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko:
Clustered bounded-distance decoding of codeword-stabilized quantum codes. ISIT 2010: 2662-2666 - 2009
- [c14]Ilya Dumer:
Equal-Weight Fingerprinting Codes. IWCC 2009: 43-51 - 2008
- [c13]Marat V. Burnashev, Ilya Dumer:
Error exponents for two soft decision decoding algorithms of Reed-Muller codes. ISIT 2008: 71-75 - 2007
- [c12]N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer:
Fingerprinting Capacity Under the Marking Assumption. ISIT 2007: 706-710 - [c11]Ilya Dumer, Grigory Kabatiansky, Cédric Tavernier:
Soft-Decision List Decoding with Linear Complexity for the First-Order Reed-Muller Codes. ISIT 2007: 1346-1349 - 2006
- [c10]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: 898-925 - [c9]Ilya Dumer, Grigory Kabatiansky, Cédric Tavernier:
List decoding of Reed-Muller codes up to the Johnson bound with almost linear complexity. ISIT 2006: 138-142 - [c8]Marat V. Burnashev, Ilya Dumer:
Error exponents for recursive decoding of Reed-Muller codes. ISIT 2006: 704-708 - [c7]Ilya Dumer:
Covering spheres and balls with smaller balls. ISIT 2006: 992-996 - 2004
- [c6]Ilya Dumer:
On polylogarithmic decoding complexity for reed-muller codes. ISIT 2004: 326 - [c5]Ilya Dumer, Mark S. Pinsker, Vyacheslav V. Prelov:
On the thinnest coverings of ellipsoids. ISIT 2004: 521 - 2003
- [c4]Ilya Dumer:
On recursive decoding with sublinear complexity for Reed-Muller codes. ITW 2003: 14-17 - 1999
- [c3]Ilya Dumer, Daniele Micciancio, Madhu Sudan:
Hardness of Approximating the Minimum Distance of a Linear Code. FOCS 1999: 475-485 - 1993
- [c2]Ilya Dumer, Patrick Guy Farrell:
Erasure Correction Performance of Linear Block Codes. Algebraic Coding 1993: 316-326 - 1991
- [c1]Ilya Dumer:
On Nonbinary Codes with Fixed Distance. Algebraic Coding 1991: 67-74
Informal and Other Publications
- 2021
- [i17]Ilya Dumer, Navid Gharavi:
Codes approaching the Shannon limit with polynomial complexity per information bit. CoRR abs/2101.10145 (2021) - 2018
- [i16]Alexey A. Kovalev, Sanjay Prabhakar, Ilya Dumer, Leonid P. Pryadko:
Numerical and analytical bounds on threshold error rates for hypergraph-product codes. CoRR abs/1804.01950 (2018) - 2017
- [i15]Ilya Dumer:
Polar codes with a stepped boundary. CoRR abs/1702.04886 (2017) - [i14]Ilya Dumer, Kirill Shabunov:
Recursive constructions and their maximum likelihood decoding. CoRR abs/1703.05302 (2017) - [i13]Ilya Dumer:
Recursive decoding of Reed-Muller codes. CoRR abs/1703.05303 (2017) - [i12]Ilya Dumer, Kirill Shabunov:
Recursive List Decoding for Reed-Muller Codes. CoRR abs/1703.05304 (2017) - [i11]Ilya Dumer, Kirill Shabunov:
Soft decision decoding of Reed-Muller codes: recursive lists. CoRR abs/1703.05305 (2017) - [i10]Ilya Dumer:
Recursive Decoding and Its Performance for Low-Rate Reed-Muller Codes. CoRR abs/1703.05306 (2017) - [i9]Ilya Dumer:
On decoding algorithms for polar codes. CoRR abs/1703.05307 (2017) - 2016
- [i8]Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko:
Distance verification for LDPC codes. CoRR abs/1605.02410 (2016) - [i7]Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko:
Distance verification for classical and quantum LDPC codes. CoRR abs/1611.07164 (2016) - 2014
- [i6]Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko:
Numerical Techniques for Finding the Distances of Quantum Codes. CoRR abs/1405.0348 (2014) - 2013
- [i5]Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko:
Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code. CoRR abs/1302.1845 (2013) - 2009
- [i4]Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko:
Structured Error Recovery for Codeword-Stabilized Quantum Codes. CoRR abs/0912.3245 (2009) - 2006
- [i3]N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer:
On the Fingerprinting Capacity Under the Marking Assumption. CoRR abs/cs/0612073 (2006) - 2004
- [i2]Sergey Yekhanin, Ilya Dumer:
Long Nonbinary Codes Exceeding the Gilbert - Varshamov Bound for any Fixed Distance. CoRR cs.IT/0406039 (2004) - 1999
- [i1]Ilya Dumer, Daniele Micciancio, Madhu Sudan:
Hardness of Approximating the Minimum Distance of a Linear Code. Electron. Colloquium Comput. Complex. TR99 (1999)
Coauthor Index
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