P. Vijay Kumar

V. Lalitha, N. Prakash, K. Vinodh, P. Vijay Kumar, S. Sandeep Pradhan: Linear Coding Schemes for the Distributed Computation of Subspaces. IEEE Journal on Selected Areas in Communications 31(4): 678-690 (2013)

K. Sreeram, S. Birenjith, P. Vijay Kumar: DMT of Parallel-Path and Layered Networks Under the Half-Duplex Constraint. IEEE Transactions on Information Theory 59(6): 3875-3891 (2013)

Govinda M. Kamath, N. Prakash, V. Lalitha, P. Vijay Kumar: Codes with local regeneration. ITA 2013: 1-5

Birenjith Sasidharan, P. Vijay Kumar: High-Rate Regenerating Codes Through Layering. CoRR abs/1301.6157 (2013)

Govinda M. Kamath, N. Prakash, V. Lalitha, P. Vijay Kumar, Natalia Silberstein, Ankit Singh Rawat, Onur Ozan Koyluoglu, Sriram Vishwanath: Explicit MBR All-Symbol Locality Codes. CoRR abs/1302.0744 (2013)

V. Lalitha, N. Prakash, K. Vinodh, P. Vijay Kumar, S. Sandeep Pradhan: Linear Coding Schemes for the Distributed Computation of Subspaces. CoRR abs/1302.5021 (2013)

K. Sreeram, S. Birenjith, P. Vijay Kumar: DMT of Multihop Networks: End Points and Computational Tools. IEEE Transactions on Information Theory 58(2): 804-819 (2012)

Reza Omrani, Gagan Garg, P. Vijay Kumar, Petros Elia, Pankaj Bhambhani: Large Families of Asymptotically Optimal Two-Dimensional Optical Orthogonal Codes. IEEE Transactions on Information Theory 58(2): 1163-1185 (2012)

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran: Distributed Storage Codes With Repair-by-Transfer and Nonachievability of Interior Points on the Storage-Bandwidth Tradeoff. IEEE Transactions on Information Theory 58(3): 1837-1852 (2012)

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran: Interference Alignment in Regenerating Codes for Distributed Storage: Necessity and Code Constructions. IEEE Transactions on Information Theory 58(4): 2134-2158 (2012)

Swaprava Nath, Venkatesan N. Ekambaram, Anurag Kumar, P. Vijay Kumar: Theory and algorithms for hop-count-based localization with random geometric graph models of dense sensor networks. TOSN 8(4): 35 (2012)

K. V. Rashmi, Nihar B. Shah, Kannan Ramchandran, P. Vijay Kumar: Regenerating codes for errors and erasures in distributed storage. ISIT 2012: 1202-1206

N. Prakash, Govinda M. Kamath, V. Lalitha, P. Vijay Kumar: Optimal linear codes with a local-error-correction property. ISIT 2012: 2776-2780

K. V. Rashmi, Nihar B. Shah, Kannan Ramchandran, P. Vijay Kumar: Regenerating Codes for Errors and Erasures in Distributed Storage. CoRR abs/1202.1050 (2012)

N. Prakash, Govinda M. Kamath, V. Lalitha, P. Vijay Kumar: Optimal Linear Codes with a Local-Error-Correction Property. CoRR abs/1202.2414 (2012)

Govinda M. Kamath, N. Prakash, V. Lalitha, P. Vijay Kumar: Codes with Local Regeneration. CoRR abs/1211.1932 (2012)

N. E. Venkatesan, Tarun Agarwal, V. Lalitha, P. Vijay Kumar: Distributed intrusion detection in the presence of correlated sensor readings: Signal-space and communication-complexity view-point. Ad Hoc Networks 9(6): 1015-1027 (2011)

Korlakai Vinayak Rashmi, Nihar B. Shah, P. Vijay Kumar: Optimal Exact-Regenerating Codes for Distributed Storage at the MSR and MBR Points via a Product-Matrix Construction. IEEE Transactions on Information Theory 57(8): 5227-5239 (2011)

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar: Information-Theoretically Secure Regenerating Codes for Distributed Storage. GLOBECOM 2011: 1-5

K. V. Rashmi, Nihar B. Shah, P. Vijay Kumar: Enabling node repair in any erasure code for distributed storage. ISIT 2011: 1235-1239

K. V. Rashmi, Nihar B. Shah, P. Vijay Kumar: Enabling Node Repair in Any Erasure Code for Distributed Storage. CoRR abs/1101.0133 (2011)

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar: Information-theoretically Secure Regenerating Codes for Distributed Storage. CoRR abs/1107.5279 (2011)

K. Vinodh, N. Prakash, V. Lalitha, P. Vijay Kumar: DMT of Wireless Networks: An Overview (Invited Paper). JCM 5(4): 265-281 (2010)

K. V. Rashmi, Nihar B. Shah, P. Vijay Kumar, Kannan Ramchandran: Explicit and optimal exact-regenerating codes for the minimum-bandwidth point in distributed storage. ISIT 2010: 1938-1942

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar: A flexible class of regenerating codes for distributed storage. ISIT 2010: 1943-1947

K. V. Rashmi, Nihar B. Shah, P. Vijay Kumar, Kannan Ramchandran: Explicit and optimal codes for distributed storage. ITA 2010: 240-244

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran: Regenerating Codes for Distributed Storage Networks. WAIFI 2010: 215-223

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran: The MISER Code: An MDS Distributed Storage Code that Minimizes Repair Bandwidth for Systematic Nodes through Interference Alignment. CoRR abs/1005.1634 (2010)

K. V. Rashmi, Nihar B. Shah, P. Vijay Kumar: Optimal Exact-Regenerating Codes for Distributed Storage at the MSR and MBR Points via a Product-Matrix Construction. CoRR abs/1005.4178 (2010)

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran: Distributed Storage Codes with Repair-by-Transfer and Non-achievability of Interior Points on the Storage-Bandwidth Tradeoff. CoRR abs/1011.2361 (2010)

Vummintala Shashidhar, B. Sundar Rajan, P. Vijay Kumar: Asymptotic-Information-Lossless Designs and the Diversity-Multiplexing Tradeoff. IEEE Transactions on Information Theory 55(1): 255-268 (2009)

Sameer A. Pawar, K. Raj Kumar, Petros Elia, P. Vijay Kumar, B. A. Sethuraman: Space-time codes achieving the DMD tradeoff of the MIMO-ARQ channel. IEEE Transactions on Information Theory 55(7): 3101-3114 (2009)

Petros Elia, K. Vinodh, M. Anand, P. Vijay Kumar: D-MG tradeoff and optimal codes for a class of AF and DF cooperative communication protocols. IEEE Transactions on Information Theory 55(7): 3161-3185 (2009)

Petros Elia, P. Vijay Kumar: Space-time codes that are approximately universal for the parallel, multi-block and cooperative DDF channels. ISIT 2009: 2813-2817

Avik Ray, Ghaya Rekaya-Ben Othman, P. Vijay Kumar, K. Vinodh: Ideal structure of the Silver code. ISIT 2009: 2818-2822

K. V. Rashmi, Nihar B. Shah, P. Vijay Kumar, Kannan Ramchandran: Exact Regenerating Codes for Distributed Storage. CoRR abs/0906.4913 (2009)

Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran: Explicit Codes Minimizing Repair Bandwidth for Distributed Storage. CoRR abs/0908.2984 (2009)

Reza Omrani, Gagan Garg, P. Vijay Kumar, Petros Elia, Pankaj Bhambhani: Large Families of Optimal Two-Dimensional Optical Orthogonal Codes. CoRR abs/0911.0143 (2009)

M. Anand, P. Vijay Kumar: Low-Correlation Sequences Over the QAM Constellation. IEEE Transactions on Information Theory 54(2): 791-810 (2008)

N. E. Venkatesan, Tarun Agarwal, P. Vijay Kumar: On the Average Case Communication Complexity for Detection in Sensor Networks. DCOSS 2008: 176-189

K. Sreeram, S. Birenjith, P. Vijay Kumar: Diversity and degrees of freedom of cooperative wireless networks. ISIT 2008: 1253-1257

Gagan Garg, P. Vijay Kumar, C. E. Veni Madhavan: Low correlation interleaved QAM sequences. ISIT 2008: 1935-1939

K. Sreeram, S. Birenjith, P. Vijay Kumar: DMT of multi-hop cooperative networks-Part I: K-Parallel-Path networks. ISIT 2008: 2076-2080

K. Sreeram, S. Birenjith, P. Vijay Kumar: DMT of multi-hop cooperative networks-Part II: Layered and multi-antenna networks. ISIT 2008: 2081-2085

Gagan Garg, P. Vijay Kumar, C. E. Veni Madhavan: Two New Families of Low-Correlation Interleaved QAM Sequences. SETA 2008: 130-141

K. Sreeram, S. Birenjith, P. Vijay Kumar: Multi-hop Cooperative Wireless Networks: Diversity Multiplexing Tradeoff and Optimal Code Design. CoRR abs/0802.1888 (2008)

K. Sreeram, S. Birenjith, P. Vijay Kumar: Diversity and Degrees of Freedom of Cooperative Wireless Networks. CoRR abs/0802.1893 (2008)

R. N. Krishnakumar, N. Naveen, P. Vijay Kumar: Diversity Multiplexing Tradeoff of Asynchronous Cooperative Relay Networks. CoRR abs/0807.0204 (2008)

K. Sreeram, S. Birenjith, P. Vijay Kumar: DMT of Multi-hop Cooperative Networks - Part I: Basic Results. CoRR abs/0808.0234 (2008)

K. Sreeram, S. Birenjith, P. Vijay Kumar: DMT of Multi-hop Cooperative Networks - Part II: Half-Duplex Networks with Full-Duplex Performance. CoRR abs/0808.0235 (2008)

Petros Elia, Frédérique E. Oggier, P. Vijay Kumar: Asymptotically optimal cooperative wireless networks with reduced signaling complexity. IEEE Journal on Selected Areas in Communications 25(2): 258-267 (2007)

Oscar Moreno, Reza Omrani, P. Vijay Kumar, H.-f. Lu: A Generalized Bose-Chowla Family of Optical Orthogonal Codes and Distinct Difference Sets. IEEE Transactions on Information Theory 53(5): 1907-1910 (2007)

Petros Elia, B. A. Sethuraman, P. Vijay Kumar: Perfect Space-Time Codes for Any Number of Antennas. IEEE Transactions on Information Theory 53(11): 3853-3868 (2007)

Reza Omrani, Pankaj Bhambhani, P. Vijay Kumar: Sequences for Phase-Encoded Optical CDMA. SSC 2007: 95-105

Petros Elia, P. Vijay Kumar: Approximately-Universal Space-Time Codes for the Parallel, Multi-Block and Cooperative-Dynamic-Decode-and-Forward Channels. CoRR abs/0706.3502 (2007)

Petros Elia, K. Raj Kumar, Sameer A. Pawar, P. Vijay Kumar, Hsiao-feng Lu: Explicit Space-Time Codes Achieving the Diversity-Multiplexing Gain Tradeoff. IEEE Transactions on Information Theory 52(9): 3869-3884 (2006)

P. Vijay Kumar, Reza Omrani, Joe Touch, Alan E. Willner, Poorya Saghari: A Novel Optical CDMA Modulation Scheme: Code Cycle Modulation. GLOBECOM 2006

Reza Omrani, P. Vijay Kumar: Codes for Optical CDMA. SETA 2006: 34-46

Petros Elia, K. Raj Kumar, Sameer A. Pawar, P. Vijay Kumar, Hsiao-feng Lu: Explicit Space-Time Codes Achieving The Diversity-Multiplexing Gain Tradeoff. CoRR abs/cs/0602054 (2006)

M. Anand, P. Vijay Kumar: Low Correlation Sequences over QAM and AM-PSK Constellations. CoRR abs/cs/0610025 (2006)

Petros Elia, K. Vinodh, M. Anand, P. Vijay Kumar: D-MG Tradeoff and Optimal Codes for a Class of AF and DF Cooperative Communication Protocols. CoRR abs/cs/0611156 (2006)

Hsiao-feng Lu, P. Vijay Kumar: A unified construction of space-time codes with optimal rate-diversity tradeoff. IEEE Transactions on Information Theory 51(5): 1709-1730 (2005)

Petros Elia, B. A. Sethuraman, P. Vijay Kumar: Perfect Space-Time Codes with Minimum and Non-Minimum Delay for Any Number of Antennas. CoRR abs/cs/0512023 (2005)

Petros Elia, P. Vijay Kumar: Approximately universal optimality over several dynamic and non-dynamic cooperative diversity schemes for wireless networks. CoRR abs/cs/0512028 (2005)

Dong-Joon Shin, P. Vijay Kumar, Tor Helleseth: An Assmus-Mattson-Type Approach for Identifying 3-Designs from Linear Codes over Z₄. Des. Codes Cryptography 31(1): 75-92 (2004)

Hsiao-feng Lu, P. Vijay Kumar, Habong Chung: On orthogonal designs and space-time codes. IEEE Communications Letters 8(4): 220-222 (2004)

Hsiao-feng Lu, P. Vijay Kumar, En-Hui Yang: On the input-output weight enumerators of product accumulate codes. IEEE Communications Letters 8(8): 520-522 (2004)

Vummintala Shashidhar, B. Sundar Rajan, P. Vijay Kumar: Asymptotic-information-lossless designs and diversity-multiplexing tradeoff. GLOBECOM 2004: 366-370

Reza Omrani, Petros Elia, P. Vijay Kumar: New Constructions and Bounds for 2-D Optical Orthogonal Codes. SETA 2004: 389-395

Reza Omrani, Oscar Moreno, P. Vijay Kumar: Topics on Optical Orthogonal Codes. SETA 2004: 396-405

Dong-Joon Shin, P. Vijay Kumar, Tor Helleseth: 3-Designs from the Z₄-Goethals Codes via a New Kloosterman Sum Identity. Des. Codes Cryptography 28(3): 247-263 (2003)

Chaoping Xing, P. Vijay Kumar, Cunsheng Ding: Low-correlation, large linear span sequences from function fields. IEEE Transactions on Information Theory 49(6): 1439-1446 (2003)

Hsiao-feng Lu, P. Vijay Kumar: Rate-diversity tradeoff of space-time codes with fixed alphabet and optimal constructions for PSK modulation. IEEE Transactions on Information Theory 49(10): 2747-2751 (2003)

Hsiao-feng Lu, Yuankai Wang, P. Vijay Kumar, Keith M. Chugg: Remarks on space-time codes including a new lower bound and an improved code. IEEE Transactions on Information Theory 49(10): 2752-2757 (2003)

Hsiao-feng Lu, P. Vijay Kumar: Constructing optimal space-time codes over various signal constellations. GLOBECOM 2003: 1973-1977

Hsiao-feng Lu, P. Vijay Kumar: Algebraic constructions of optimal space-time trellis codes. GLOBECOM 2003: 1984-1988

Tor Helleseth, P. Vijay Kumar, Halvard Martinsen: A New Family of Ternary Sequences with Ideal Two-level Autocorrelation Function. Des. Codes Cryptography 23(2): 157-166 (2001)

Dong-Joon Shin, P. Vijay Kumar, Tor Helleseth: 5-Designs from the lifted Golay code over Z₄ via an Assmus-Mattson type approach. Discrete Mathematics 241(1-3): 479-487 (2001)

Hans Dobbertin, Tor Helleseth, P. Vijay Kumar, Halvard Martinsen: Ternary m-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type. IEEE Transactions on Information Theory 47(4): 1473-1481 (2001)

Ilia Aleshnikov, P. Vijay Kumar, Kenneth W. Shum, Henning Stichtenoth: On the splitting of places in a tower of function fields meeting the Drinfeld-Vladut bound. IEEE Transactions on Information Theory 47(4): 1613-1619 (2001)

Kenneth W. Shum, Ilia Aleshnikov, P. Vijay Kumar, Henning Stichtenoth, Vinay Deolalikar: A low-complexity algorithm for the construction of algebraic-geometric codes better than the Gilbert-Varshamov bound. IEEE Transactions on Information Theory 47(6): 2225-2241 (2001)

K. T. Arasu, Cunsheng Ding, Tor Helleseth, P. Vijay Kumar, Halvard Martinsen: Almost difference sets and their sequences with optimal autocorrelation. IEEE Transactions on Information Theory 47(7): 2934-2943 (2001)

Anchung Chang, Peter Gaal, Solomon W. Golomb, Guang Gong, Tor Helleseth, P. Vijay Kumar: On a conjectured ideal autocorrelation sequence, a related triple-error correcting cyclic code. IEEE Transactions on Information Theory 46(2): 680-687 (2000)

Kyeongcheol Yang, Young-Ky Kim, P. Vijay Kumar: Quasi-orthogonal sequences for code-division multiple-access systems. IEEE Transactions on Information Theory 46(3): 982-993 (2000)

Tor Helleseth, P. Vijay Kumar, Kyeongcheol Yang: An Infinite Family of 3-Designs from Preparata Codes over Z. Des. Codes Cryptography 15(2): 175-181 (1998)

P. Vijay Kumar, Tor Helleseth: An Expansion for the Coordinates of the Trace Function over Galois Rings. Appl. Algebra Eng. Commun. Comput. 8(5): 353-361 (1997)

Tor Helleseth, P. Vijay Kumar, Abhijit G. Shanbhag: Codes with the Same Weight Distributions as the Goethals Codes and the Delsarte-Goethals Codes. Des. Codes Cryptography 9(3): 257-266 (1996)

Tor Helleseth, P. Vijay Kumar: On the weight hierarchy of the semiprimitive codes. Discrete Mathematics 152(1-3): 185-190 (1996)

A. Robert Calderbank, Gary McGuire, P. Vijay Kumar, Tor Helleseth: Cyclic codes over Z₄, locator polynomials, and Newton's identities. IEEE Transactions on Information Theory 42(1): 217-226 (1996)

Abhijit G. Shanbhag, P. Vijay Kumar, Tor Helleseth: Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences. IEEE Transactions on Information Theory 42(1): 250-254 (1996)

P. Vijay Kumar, Tor Helleseth, A. Robert Calderbank, A. Roger Hammons Jr.: Large families of quaternary sequences with low correlation. IEEE Transactions on Information Theory 42(2): 579-592 (1996)

P. Vijay Kumar: Review of 'Algebraic Function Fields and Codes' (Stichtenoth, H.; 1993). IEEE Transactions on Information Theory 42(2): 676 (1996)

Tor Helleseth, P. Vijay Kumar, Oscar Moreno, Abhijit G. Shanbhag: Improved estimates via exponential sums for the minimum distance of Z₄-linear trace codes. IEEE Transactions on Information Theory 42(4): 1212-1216 (1996)

Abhijit G. Shanbhag, P. Vijay Kumar, Tor Helleseth: Improved binary codes and sequence families from Z₄-linear codes. IEEE Transactions on Information Theory 42(5): 1582-1587 (1996)

Kyeongcheol Yang, Tor Helleseth, P. Vijay Kumar, Abhijit G. Shanbhag: On the weight hierarchy of Kerdock codes over Z₄. IEEE Transactions on Information Theory 42(5): 1587-1593 (1996)

Tor Helleseth, P. Vijay Kumar: The weight hierarchy of the Kasami codes. Discrete Mathematics 145(1-3): 133-143 (1995)

Oscar Moreno, Zhen Zhang, P. Vijay Kumar, Victor Zinoviev: New constructions of optimal cyclically permutable constant weight codes. IEEE Transactions on Information Theory 41(2): 448-455 (1995)

P. Vijay Kumar, Tor Helleseth, A. Robert Calderbank: An upper bound for Weft exponential sums over Galois tings and applications. IEEE Transactions on Information Theory 41(2): 456-468 (1995)

Tor Helleseth, P. Vijay Kumar: The algebraic decoding of the Z₄-linear Goethals code. IEEE Transactions on Information Theory 41(6): 2040-2048 (1995)

A. Roger Hammons Jr., P. Vijay Kumar, A. Robert Calderbank, Neil J. A. Sloane, Patrick Solé: The Z₄-linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Transactions on Information Theory 40(2): 301-319 (1994)

Serdar Boztas, P. Vijay Kumar: Binary sequences with Gold-like correlation but larger linear span. IEEE Transactions on Information Theory 40(2): 532-537 (1994)

Kyeongcheol Yang, P. Vijay Kumar, Henning Stichtenoth: On the weight hierarchy of geometric Goppa codes. IEEE Transactions on Information Theory 40(3): 913-920 (1994)

Oscar Moreno, P. Vijay Kumar: Minimum distance bounds for cyclic codes and Deligne's theorem. IEEE Transactions on Information Theory 39(5): 1524-1534 (1993)

A. Roger Hammons Jr., P. Vijay Kumar, A. Robert Calderbank, Neil J. A. Sloane, Patrick Solé: On the Apparent Duality of the Kerdock and Preparata Codes. AAECC 1993: 13-24

Serdar Boztas, Roger Hammons, P. Vijay Kumar: 4-phase sequences with near-optimum correlation properties. IEEE Transactions on Information Theory 38(3): 1101-1113 (1992)

Ara Patapoutian, P. Vijay Kumar: The (d, k) subdoce of a linear block code. IEEE Transactions on Information Theory 38(4): 1375-1382 (1992)

P. Vijay Kumar, Victor K.-W. Wei: Minimum distance of logarithmic and fractional partial m-sequences. IEEE Transactions on Information Theory 38(5): 1474-1482 (1992)

P. Vijay Kumar, Oscar Moreno: Prime-phase sequences with periodic correlation properties better than binary sequences. IEEE Transactions on Information Theory 37(3): 603-616 (1991)

P. Vijay Kumar, Chao-Ming Liu: On lower bounds to the maximum correlation of complex roots-of-unity sequences. IEEE Transactions on Information Theory 36(3): 633-640 (1990)

Habong Chung, P. Vijay Kumar: Optical orthogonal codes-New bounds and an optimal construction. IEEE Transactions on Information Theory 36(4): 866-873 (1990)

Habong Chung, P. Vijay Kumar: A new general construction for generalized bent functions. IEEE Transactions on Information Theory 35(1): 206-209 (1989)

Jong-Seon No, P. Vijay Kumar: A new family of binary pseudorandom sequences having optimal periodic correlation properties and large linear span. IEEE Transactions on Information Theory 35(2): 371-379 (1989)

P. Vijay Kumar: Frequency-hopping code sequence designs having large linear span. IEEE Transactions on Information Theory 34(1): 146-151 (1988)

P. Vijay Kumar: On the existence of square dot-matrix patterns having a specific three-valued periodic-correlation function. IEEE Transactions on Information Theory 34(2): 271-277 (1988)

P. Vijay Kumar, Robert A. Scholtz, Lloyd R. Welch: Generalized Bent Functions and Their Properties. J. Comb. Theory, Ser. A 40(1): 90-107 (1985)

P. Vijay Kumar: On bent sequences and generalized bent functions (Ph.D. thesis abstr.). IEEE Transactions on Information Theory 30(2): 450- (1984)

P. Vijay Kumar, Robert A. Scholtz: Bounds on the linear span of bent sequences. IEEE Transactions on Information Theory 29(6): 854-862 (1983)