{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T16:40:22Z","timestamp":1654101622186},"reference-count":32,"publisher":"IGI Global","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,10,1]]},"abstract":"<p>The key challenges of future wireless communication are improving data rate and quality of service. However, the challenges posed by having a large number of users such as power control, frequency synchronization and independently faded channels scales with the number of users. Cooperative communications is a candidate technology for high data rate and multi-user communications. In this paper, a new design of distributed network codes is introduced. These network codes are based on algebraic constructions in finite fields. Finite fields have an attractive feature of constraining transmit signal energy and is resilient to fading channels. The codes have high diversity and scale up with an arbitrary number of users. The codes are an alternative to Generalized Dynamic Network Codes without a restriction on the field size. Results are compared to theoretical evaluations and systems with similar configurations.<\/p>","DOI":"10.4018\/ijhcr.2016100101","type":"journal-article","created":{"date-parts":[[2017,1,25]],"date-time":"2017-01-25T16:09:17Z","timestamp":1485360557000},"page":"1-14","source":"Crossref","is-referenced-by-count":0,"title":["Network Codes Based on Symmetric Matrices"],"prefix":"10.4018","volume":"7","author":[{"given":"Edidiong Anselm","family":"Attang","sequence":"first","affiliation":[{"name":"Illinois Institute of Technology, Department of Electrical and Computer Engineering, Chicago, IL, USA"}]},{"given":"Yuteng","family":"Wu","sequence":"additional","affiliation":[{"name":"Illinois Institute of Technology, Department of Electrical and Computer Engineering, Chicago, IL, USA"}]},{"given":"Mandana","family":"Norouzi","sequence":"additional","affiliation":[{"name":"Illinois Institute of Technology, Department of Electrical and Computer Engineering, Chicago, IL, USA"}]},{"given":"Guillermo E","family":"Atkin","sequence":"additional","affiliation":[{"name":"Illinois Institute of Technology, Department of Electrical and Computer Engineering, Chicago, IL, USA"}]}],"member":"2432","reference":[{"key":"IJHCR.2016100101-0","first-page":"264","author":"E.Attang","year":"2015","journal-title":"Network coding based on DFT Matrices design. Proceedings of the IEEE Intl Conf. on Electro\/Information Technology"},{"key":"IJHCR.2016100101-1","doi-asserted-by":"publisher","DOI":"10.1109\/EIT.2016.7535273"},{"key":"IJHCR.2016100101-2","doi-asserted-by":"crossref","unstructured":"Bury, A., Egle, J., & Lindner, J. (2003). Diversity Comparison of Spreading Transforms for Multicarrier Spread Spectrum Transmission. IEEE Trans. on Comm., 51(5), 774-780.","DOI":"10.1109\/TCOMM.2003.811406"},{"key":"IJHCR.2016100101-3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1979.1056084"},{"key":"IJHCR.2016100101-4","first-page":"510","article-title":"Fundamental Limits on Diversity-embedded codes over fading channels. Proc.","author":"S.Diggavi","year":"2005","journal-title":"IEEE Int. Symp. Information Theory"},{"key":"IJHCR.2016100101-5","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2005.1523387"},{"key":"IJHCR.2016100101-6","doi-asserted-by":"publisher","DOI":"10.1002\/9780470740071"},{"key":"IJHCR.2016100101-7","volume":"Vol. 1","author":"G. B.Giannakis","year":"2000","journal-title":"Signal Processing Advances in Wireless and Mobile Communications- Trends in Channel Estimation and Equalization"},{"key":"IJHCR.2016100101-8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511754623"},{"key":"IJHCR.2016100101-9","doi-asserted-by":"publisher","DOI":"10.1109\/49.909608"},{"key":"IJHCR.2016100101-10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511536779"},{"key":"IJHCR.2016100101-11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.838089"},{"key":"IJHCR.2016100101-12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172769"},{"key":"IJHCR.2016100101-13","author":"S.Lin","year":"2004","journal-title":"Error Control Coding"},{"key":"IJHCR.2016100101-14","author":"H.Liu","year":"2000","journal-title":"Signal Processing Applications in CDMA Communications"},{"key":"IJHCR.2016100101-15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2253153"},{"key":"IJHCR.2016100101-16","doi-asserted-by":"crossref","unstructured":"MacWilliams, J. (1969, February 1). Orthogonal Matrices over Finite Fields. American Mathematical Monthly, 76(2), 152-164.","DOI":"10.1080\/00029890.1969.12000160"},{"key":"IJHCR.2016100101-17","author":"F.McWilliams","year":"1977","journal-title":"The Theory of Error Correcting Codes"},{"key":"IJHCR.2016100101-18","doi-asserted-by":"publisher","DOI":"10.1109\/AICT.2010.53"},{"key":"IJHCR.2016100101-19","doi-asserted-by":"crossref","unstructured":"M. Norouzi, E. Attang, Y. Wu & G. E. Atkin. (2014, June). Symbol error rate analysis for cooperative diversity networks by distributed embedded space time code. Proceedings of the IEEE Intl Conf. on Electro\/Information Technology (EIT), pp. 422-426.","DOI":"10.1109\/EIT.2014.6871801"},{"key":"IJHCR.2016100101-20","doi-asserted-by":"publisher","DOI":"10.1049\/iet-com.2014.1259"},{"key":"IJHCR.2016100101-21","doi-asserted-by":"publisher","DOI":"10.1109\/EIT.2013.6632674"},{"key":"IJHCR.2016100101-22","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.2004.1341264"},{"key":"IJHCR.2016100101-23","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1971-0301966-0"},{"issue":"3","key":"IJHCR.2016100101-24","first-page":"916","article-title":"Multiuser cooperative diversity through coding based on classical coding theory.","volume":"60","author":"J. L.Rebellato","year":"2003","journal-title":"IEEE Transactions on Signal Processing"},{"key":"IJHCR.2016100101-25","doi-asserted-by":"publisher","DOI":"10.1017\/S0001867800037605"},{"key":"IJHCR.2016100101-26","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2007.900631"},{"key":"IJHCR.2016100101-27","author":"X.Wang","year":"2004","journal-title":"Wireless Communication Systems: Advanced techniques for signal reception"},{"key":"IJHCR.2016100101-28","first-page":"402","author":"Y.Wu","year":"2016","journal-title":"A Multidimensional design for Multiuser Communications. IEEE Intl Conf on Electro Information Technology"},{"key":"IJHCR.2016100101-29","doi-asserted-by":"crossref","unstructured":"M. Xiao & M. Skoglund. (2009). M-user cooperative wireless communications based on Non-binary network codes. IEEE Info Theory workshop on Networking and Info Theory, 58(12), 316-320.","DOI":"10.1109\/ITWNIT.2009.5158594"},{"key":"IJHCR.2016100101-30","doi-asserted-by":"publisher","DOI":"10.1109\/ICIEA.2009.5138307"},{"issue":"5","key":"IJHCR.2016100101-31","first-page":"476","article-title":"Fundamental tradeoff in Multiple Antenna Channels.","volume":"49","author":"L.Zheng","year":"2003","journal-title":"IEEE Transactions on Information Theory"}],"container-title":["International Journal of Handheld Computing Research"],"original-title":[],"language":"ng","link":[{"URL":"https:\/\/www.igi-global.com\/viewtitle.aspx?TitleId=176415","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T16:21:49Z","timestamp":1654100509000},"score":1,"resource":{"primary":{"URL":"https:\/\/services.igi-global.com\/resolvedoi\/resolve.aspx?doi=10.4018\/IJHCR.2016100101"}},"subtitle":[""],"short-title":[],"issued":{"date-parts":[[2016,10,1]]},"references-count":32,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,10]]}},"URL":"https:\/\/doi.org\/10.4018\/ijhcr.2016100101","relation":{},"ISSN":["1947-9158","1947-9166"],"issn-type":[{"value":"1947-9158","type":"print"},{"value":"1947-9166","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,10,1]]}}}