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Vajha, Myna ; Ramkumar, Vinayak ; Krishnan, M. Nikhil ; Kumar, P. Vijay (2021) Explicit Rate-Optimal Streaming Codes with Smaller Field Size In: IEEE International Symposium on Information Theory, 12-20 July 2021, Melbourne, Australia.

Ramkumar, Vinayak ; Vajha, Myna ; Kumar, P. Vijay (2021) Generalized Simple Streaming Codes from MDS Codes In: IEEE International Symposium on Information Theory, 12-20 July 2021, Melbourne, Australia.

Ramkumar, Vinayak ; Vajha, Myna ; Vijay Kumar, P. (2021) Locally Recoverable Streaming Codes for Packet-Erasure Recovery Arxiv-eprints .

Krishnan, M. Nikhil ; Shukla, Deeptanshu ; Kumar, P. Vijay (2020) Rate-Optimal Streaming Codes for Channels With Burst and Random Erasures IEEE Transactions on Information Theory, 66 (8). pp. 4869-4891. ISSN 0018-9448

Nikhil Krishnan, M. ; Ramkumar, Vinayak ; Vajha, Myna ; Vijay Kumar, P. (2020) Simple Streaming Codes for Reliable, Low-Latency Communication IEEE Communications Letters, 24 (2). pp. 249-253. ISSN 1089-7798

Balaji, S. B. ; Kini, Ganesh R. ; Kumar, P. Vijay (2020) A Tight Rate Bound and Matching Construction for Locally Recoverable Codes With Sequential Recovery From Any Number of Multiple Erasures IEEE Transactions on Information Theory, 66 (2). pp. 1023-1052. ISSN 0018-9448

Prakash, N. ; Lalitha, V. ; Balaji, S. B. ; Vijay Kumar, P. (2019) Codes With Locality for Two Erasures IEEE Transactions on Information Theory, 65 (12). pp. 7771-7789. ISSN 0018-9448

Balaji, S. B. ; Krishnan, M. Nikhil ; Vajha, Myna ; Ramkumar, Vinayak ; Sasidharan, Birenjith ; Kumar, P. Vijay (2018) Erasure coding for distributed storage: an overview Science China Information Sciences, 61 (10). ISSN 1674-733X

Krishnan, M. Nikhil ; Puranik, Bhagyashree ; Kumar, P. Vijay ; Tamo, Itzhak ; Barg, Alexander (2018) Exploiting Locality for Improved Decoding of Binary Cyclic Codes IEEE Transactions on Communications, 66 (6). pp. 2346-2358. ISSN 0090-6778

Rashmi, K. V. ; Shah, Nihar B. ; Ramchandran, Kannan ; Kumar, P. Vijay (2018) Information-Theoretically Secure Erasure Codes for Distributed Storage IEEE Transactions on Information Theory, 64 (3). pp. 1621-1646. ISSN 0018-9448

Gong, Guang ; Helleseth, Tor ; Kumar, P. Vijay (2018) Solomon W. Golomb—Mathematician, Engineer, and Pioneer IEEE Transactions on Information Theory, 64 (4). pp. 2844-2857. ISSN 0018-9448

Sasidharan, Birenjith ; Prakash, N. ; Krishnan, M. Nikhil ; Vajha, Myna ; Senthoor, Kaushik ; Vijay Kumar, P. (2016) Outer bounds on the storage-repair bandwidth trade-off of exact-repair regenerating codes International Journal of Information and Coding Theory, 3 (4). pp. 255-298. ISSN 1753-7703

Tian, Chao ; Sasidharan, Birenjith ; Aggarwal, Vaneet ; Vaishampayan, Vinay A. ; Vijay Kumar, P. (2015) Layered exact-repair regenerating codes via embedded error correction and block designs IEEE Transactions on Information Theory, 61 (4). pp. 1933-1947. ISSN 0018-9448

Kamath, Govinda M. ; Prakash, N. ; Lalitha, V. ; Vijay Kumar, P. (2014) Codes with local regeneration and erasure correction IEEE Transactions on Information Theory, 60 (8). pp. 4637-4660. ISSN 0018-9448

Sreeram, K. ; Birenjith, S. ; Vijay Kumar, P. (2013) DMT of parallel-path and layered networks under the half-duplex constraint IEEE Transactions on Information Theory, 59 (6). pp. 3875-3891. ISSN 0018-9448

Lalitha, V. ; Prakash, N. ; Vinodh, K. ; Vijay Kumar, P. ; Sandeep Pradhan, S. (2013) Linear coding schemes for the distributed computation of subspaces IEEE Journal on Selected Areas in Communications, 31 (4). pp. 678-690. ISSN 0733-8716

Shah, Nihar B. ; Rashmi, K. V. ; Vijay Kumar, P. ; Ramchandran, Kannan (2012) Distributed storage codes with repair-by-transfer and nonachievability of interior points on the storage-bandwidth tradeoff IEEE Transactions on Information Theory, 58 (3). pp. 1837-1852. ISSN 0018-9448

Sreeram, K. ; Birenjith, S. ; Vijay Kumar, P. (2012) DMT of multihop networks: end points and computational tools IEEE Transactions on Information Theory, 58 (2). pp. 804-819. ISSN 0018-9448

Omrani, Reza ; Garg, Gagan ; Vijay Kumar, P. ; Elia, Petros ; Bhambhani, Pankaj (2012) Large families of asymptotically optimal two-dimensional optical orthogonal codes IEEE Transactions on Information Theory, 58 (2). pp. 1163-1185. ISSN 0018-9448

Shah, Nihar B. ; Rashmi, K. V. ; Vijay Kumar, P. ; Ramchandran, Kannan (2012) Interference alignment in regenerating codes for distributed storage: necessity and code constructions IEEE Transactions on Information Theory, 58 (4). pp. 2134-2158. ISSN 0018-9448

Nath, Swaprava ; Ekambaram, Venkatesan N. ; Kumar, Anurag ; Vijay Kumar, P. (2012) Theory and algorithms for hop-count-based localization with random geometric graph models of dense sensor networks ACM Transactions on Sensor Networks, 8 (4). Article ID 35. ISSN 1550-4859

Rashmi, K. V. ; Shah, Nihar B. ; Vijay Kumar, P. (2011) 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). pp. 5227-5239. ISSN 0018-9448

Rashmi, K. V. ; Shah, Nihar B. ; Vijay Kumar, P. (2010) Network coding Resonance - Journal of Science Education, 15 (7). pp. 604-621. ISSN 0971-8044

Vummintala, Shashidhar ; Rajan, B. Sundar ; Vijay Kumar, P. (2009) Asymptotic-information-lossless designs and the diversity—multiplexing tradeoff IEEE Transactions on Information Theory, 55 (1). pp. 255-268. ISSN 0018-9448

Elia, Petros E. ; Vinodh, K. ; Anand, M. ; Vijay Kumar, P. (2009) D-MG tradeoff and optimal codes for a class of AF and DF cooperative communication protocols IEEE Transactions on Information Theory, 55 (7). pp. 3161-3185. ISSN 0018-9448

Pawar, Sameer A. ; Raj Kumar, K. ; Elia, Petros ; Vijay Kumar, P. ; Sethuraman, B. A. (2009) Space-time codes achieving the DMD tradeoff of the MIMO-ARQ channel IEEE Transactions on Information Theory, 55 (7). pp. 3101-3114. ISSN 0018-9448

Anand, M. ; Vijay Kumar, P. (2008) Low-correlation sequences over the QAM constellation IEEE Transactions on Information Theory, 54 (2). pp. 791-810. ISSN 0018-9448

Elia, Petros ; Oggier, Frederique ; Vijay Kumar, P. (2007) Asymptotically optimal cooperative wireless networks with reduced signaling complexity IEEE Journal on Selected Areas in Communications, 25 (2). pp. 258-267. ISSN 0733-8716

Elia, Petros ; Sethuraman, B. A. ; Vijay Kumar, P. (2007) Perfect space-time codes for any number of antennas IEEE Transactions on Information Theory, 53 (11). pp. 3853-3868. ISSN 0018-9448

Moreno, Oscar ; Omrani, Reza ; Vijay Kumar, P. ; Lu, Hsiao-feng (2007) A generalized Bose-Chowla family of optical orthogonal codes and distinct difference sets IEEE Transactions on Information Theory, 53 (5). pp. 1907-1910. ISSN 0018-9448

Elia, P. ; Kumar, K. R. ; Pawar, S. A. ; Kumar, P. V. ; Lu, H.-F. (2006) Explicit space-time codes achieving the diversity-multiplexing gain tradeoff IEEE Transactions on Information Theory, 52 (9). pp. 3869-3884. ISSN 0018-9448

Saghari, P. ; Omrani, R. ; Willner, A. E. ; Kumar, P. V. (2005) Analytical interference model for two-dimensional (time-wavelength) asynchronous O-CDMA systems using various receiver structures Journal of Lightwave Technology, 23 (10). pp. 3260-3269. ISSN 0733-8724

Lu, H.-F. F. ; Kumar, P. V. (2005) A unified construction of space–time codes with optimal rate–diversity tradeoff IEEE Transactions on Information Theory, 51 (5). pp. 1709-1730. ISSN 0018-9448

Lu, Hsiao-feng ; Kumar, P. V. ; Yang, En-hui (2004) On the input-output weight enumerators of product accumulate codes IEEE Communications Letters, 8 (8). pp. 520-522. ISSN 1089-7798

Lu, Hsiao-feng ; Kumar, P. V. ; Chung, Habong (2004) On orthogonal designs and space-time codes IEEE Communications Letters, 8 (4). pp. 220-222. ISSN 1089-7798

Shin, Dong-Joon ; Vijay Kumar, P. ; Helleseth, Tor (2004) An assmus–mattson-type approach for identifying 3-designs from linear codes over Z₄ Designs, Codes and Cryptography, 31 (1). pp. 75-92. ISSN 0925-1022

Shin, Dong‐Joon ; Vijay Kumar, P. ; Helleseth, Tor (2003) 3-designs from the Z₄-goethals codes via a new kloosterman sum identity Designs, Codes and Cryptography, 28 (3). pp. 247-263. ISSN 0925-1022

Xing, Chaoping ; Kumar, P. V. ; Ding, Cunsheng (2003) Low-correlation, large linear span sequences from function fields IEEE Transactions on Information Theory, 49 (6). pp. 1439-1446. ISSN 0018-9448

Lu, Hsiao-feng ; Kumar, P. V. (2003) Rate-diversity tradeoff of space-time codes with fixed alphabet and optimal constructions for PSK modulation IEEE Transactions on Information Theory, 49 (10). pp. 2747-2751. ISSN 0018-9448

Lu, Hsiao-feng ; Wang, Yuankai ; Kumar, P. V. ; Chugg, K. M. (2003) Remarks on space-time codes including a new lower bound and an improved code IEEE Transactions on Information Theory, 49 (10). pp. 2752-2757. ISSN 0018-9448

Arasu, K. T. ; Ding, C. ; Helleseth, T. ; Kumar, P. V. ; Martinsen, H. M. (2001) Almost difference sets and their sequences with optimal autocorrelation IEEE Transactions on Information Theory, 47 (7). pp. 2934-2943. ISSN 0018-9448

Shum, K. W. ; Aleshnikov, I. ; Kumar, P. V. ; Stichtenoth, H. ; Deolalikar, V. (2001) A low-complexity algorithm for the construction of algebraic-geometric codes better than the Gilbert-Varshamov bound IEEE Transactions on Information Theory, 47 (6). pp. 2225-2241. ISSN 0018-9448

Aleshnikov, I. ; Kumar, P. V. ; Shum, K. W. ; Stichtenoth, H. (2001) On the splitting of places in a tower of function fields meeting the Drinfeld-Vladut bound IEEE Transactions on Information Theory, 47 (4). pp. 1613-1619. ISSN 0018-9448

Shin, Dong-Joon ; Vijay Kumar, P. ; Helleseth, Tor (2001) 5-designs from the lifted Golay code over Z₄ via an Assmus–Mattson type approach Discrete Mathematics, 241 (1-3). pp. 479-487. ISSN 0012-365X

Helleseth, Tor ; Vijay Kumar, P. ; Martinsen, Halvard (2001) A new family of ternary sequences with ideal two-level autocorrelation function Designs, Codes and Cryptography, 23 (2). pp. 157-166. ISSN 0925-1022

Chang, Anchung ; Gaal, P. ; Golomb, S. W. ; Gong, Guang ; Helleseth, T. ; Vijay Kumar, P. (2000) On a conjectured ideal autocorrelation sequence and a related triple-error correcting cyclic code IEEE Transactions on Information Theory, 46 (2). pp. 680-687. ISSN 0018-9448

Helleseth, Tor ; Vijay Kumar, P. ; Yang, Kyeongcheol (1998) An infinite family of 3-designs from preparata codes over Z₄ Designs, Codes and Cryptography, 15 (2). pp. 175-181. ISSN 0925-1022

Shanbhag, Abhijit G. ; Vijay Kumar, P. ; Helleseth, Tor (1998) An upper bound for the extended Kloosterman sums over Galois Rings Finite Fields and Their Applications, 4 (3). pp. 218-238. ISSN 1071-5797

Vijay Kumar, P. ; Helleseth, Tor (1997) An expansion for the coordinates of the trace function over Galois Rings Applicable Algebra in Engineering, Communication and Computing, 8 (5). pp. 353-361. ISSN 0938-1279

Helleseth, Tor ; Vijay Kumar, P. ; Shanbhag, Abhijit (1996) Codes with the same weight distributions as the Goethals codes and the Delsarte-Goethals codes Designs, Codes and Cryptography, 9 (3). pp. 257-266. ISSN 0925-1022

Shanbhag, A. G. ; Vijay Kumar, P. ; Hellesath, T. (1996) Improved binary codes and sequence families from Z₄-linear codes IEEE Transactions on Information Theory, 42 (5). pp. 1582-1587. ISSN 0018-9448

Calderbank, A. R. ; McGuire, G. ; Kumar, V. P. ; Helleseth, T. (1996) Cyclic codes over Z₄, locator polynomials, and Newton's identities IEEE Transactions on Information Theory, 42 (1). pp. 217-226. ISSN 0018-9448

Helleseth, Tor ; Vijay Kumar, P. (1996) On the weight hierarchy of the semiprimitive codes Discrete Mathematics, 152 (1-3). pp. 185-190. ISSN 0012-365X

Shanbhag, A. G. ; Kumar, P. V. ; Helleseth, T. (1996) 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). pp. 250-254. ISSN 0018-9448

Helleseth, T. ; Kumar, P. V. (1995) The algebraic decoding of the Z₄ linear Goethals code IEEE Transactions on Information Theory, 41 (6). pp. 2040-2048. ISSN 0018-9448

Moreno, O. ; Zhang, Zhen ; Kumar, P. V. ; Zinoviev, V. A. (1995) New constructions of optimal cyclically permutable constant weight codes IEEE Transactions on Information Theory, 41 (2). pp. 448-455. ISSN 0018-9448

Moreno, O. ; Zinoviev, V. A. ; Kumar, P. V. (1995) An extension of the Weil-Carlitz-Uchiyama bound Finite Fields and Their Applications, 1 (3). pp. 360-371. ISSN 1071-5797

Helleseth, Tor ; Vijay Kumar, P. (1995) The weight hierarchy of the Kasami codes Discrete Mathematics, 145 (1-3). pp. 133-143. ISSN 0012-365X

Yang, Kyeongcheol ; Kumar, P. V. ; Stichtenoth, H. (1994) On the weight hierarchy of geometric Goppa codes IEEE Transactions on Information Theory, 40 (3). pp. 913-920. ISSN 0018-9448

Hammons, A. R. ; Kumar, P. V. ; Calderbank, A. R. ; Sloane, N. J. A. ; Sole, P. (1994) The Z₄-linearity of Kerdock, Preparata, Goethals, and related codes IEEE Transactions on Information Theory, 40 (2). pp. 301-319. ISSN 0018-9448

Moreno, O. ; Kumar, P. V. (1993) Minimum distance bounds for cyclic codes and Deligne's theorem IEEE Transactions on Information Theory, 39 (5). pp. 1524-1534. ISSN 0018-9448

Calderbank, A. R. ; Hammons, A. R. ; Vijay Kumar, P. ; Sloane, N. J. A. ; Sole, Patrick (1993) A linear construction for certain Kerdock and Preparata codes Bulletin of the American Mathematical Society, 29 (2). pp. 218-223. ISSN 0273-0979

Kumar, P. V. ; Wei, V. K. (1992) Minimum distance of logarithmic and fractional partial m-sequences IEEE Transactions on Information Theory, 38 (5). pp. 1474-1482. ISSN 0018-9448

Kumar, P. V. ; Moreno, O. (1991) Prime-phase sequences with periodic correlation properties better than binary sequences IEEE Transactions on Information Theory, 37 (3). pp. 603-616. ISSN 0018-9448

Kumar, P. V. ; Liu, C. -M. (1990) On lower bounds to the maximum correlation of complex roots-of-unity sequences IEEE Transactions on Information Theory, 36 (3). pp. 633-640. ISSN 0018-9448

No, J. -S. ; Kumar, P. V. (1989) A new family of binary pseudorandom sequences having optimal periodic correlation properties and larger linear span IEEE Transactions on Information Theory, 35 (2). pp. 371-379. ISSN 0018-9448

Chung, H. ; Kumar, P. V. (1989) A new general construction for generalized bent functions IEEE Transactions on Information Theory, 35 (1). pp. 206-209. ISSN 0018-9448

Kumar, P. V. (1988) On the existence of square dot-matrix patterns having a specific three-valued periodic-correlation function IEEE Transactions on Information Theory, 34 (2). pp. 271-277. ISSN 0018-9448

Kumar, P. V. ; Scholtz, R. A. ; Welch, L. R. (1985) Generalized bent functions and their properties Journal of Combinatorial Theory, Series A, 40 (1). pp. 90-107. ISSN 0097-3165