Publication: Construction a of lattices over number fields and block fading (wiretap) coding
dc.contributor.author | Wittawat Kositwattanarerk | en_US |
dc.contributor.author | Soon Sheng Ong | en_US |
dc.contributor.author | Frédérique Oggier | en_US |
dc.contributor.other | Mahidol University | en_US |
dc.contributor.other | Nanyang Technological University | en_US |
dc.contributor.other | Raffles Institution | en_US |
dc.date.accessioned | 2018-11-23T10:01:21Z | |
dc.date.available | 2018-11-23T10:01:21Z | |
dc.date.issued | 2015-05-01 | en_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.citation | IEEE Transactions on Information Theory. Vol.61, No.5 (2015), 2273-2282 | en_US |
dc.identifier.doi | 10.1109/TIT.2015.2416340 | en_US |
dc.identifier.issn | 00189448 | en_US |
dc.identifier.other | 2-s2.0-84928542128 | en_US |
dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/35813 | |
dc.rights | Mahidol University | en_US |
dc.rights.holder | SCOPUS | en_US |
dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84928542128&origin=inward | en_US |
dc.subject | Computer Science | en_US |
dc.title | Construction a of lattices over number fields and block fading (wiretap) coding | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84928542128&origin=inward | en_US |