Publication:
Construction a of lattices over number fields and block fading (wiretap) coding

dc.contributor.authorWittawat Kositwattanarerken_US
dc.contributor.authorSoon Sheng Ongen_US
dc.contributor.authorFrédérique Oggieren_US
dc.contributor.otherMahidol Universityen_US
dc.contributor.otherNanyang Technological Universityen_US
dc.contributor.otherRaffles Institutionen_US
dc.date.accessioned2018-11-23T10:01:21Z
dc.date.available2018-11-23T10:01:21Z
dc.date.issued2015-05-01en_US
dc.description.abstract© 1963-2012 IEEE. We propose a lattice construction from totally real and complex multiplication fields, which naturally generalizes Construction A of lattices from p -ary codes obtained from the cyclotomic field Q(ζ<inf>p</inf>), p a prime, which in turn contains the so-called Construction A of lattices from binary codes as a particular case. We focus on the maximal totally real subfield Q(ζ<inf>p</inf><sup>-r</sup>)+ζ<inf>p</inf><sup>-r</sup>) of the cyclotomic field Q(ζ<inf>p</inf><sup>r</sup>), ≥ 1. Our construction has applications to coset encoding of algebraic lattice codes for block fading channels, and in particular for block fading wiretap channels.en_US
dc.identifier.citationIEEE Transactions on Information Theory. Vol.61, No.5 (2015), 2273-2282en_US
dc.identifier.doi10.1109/TIT.2015.2416340en_US
dc.identifier.issn00189448en_US
dc.identifier.other2-s2.0-84928542128en_US
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/20.500.14594/35813
dc.rightsMahidol Universityen_US
dc.rights.holderSCOPUSen_US
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84928542128&origin=inwarden_US
dc.subjectComputer Scienceen_US
dc.titleConstruction a of lattices over number fields and block fading (wiretap) codingen_US
dc.typeArticleen_US
dspace.entity.typePublication
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84928542128&origin=inwarden_US

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