Publication: Construction a of lattices over number fields and block fading (wiretap) coding
Issued Date
2015-05-01
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00189448
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2-s2.0-84928542128
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Mahidol University
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SCOPUS
Bibliographic Citation
IEEE Transactions on Information Theory. Vol.61, No.5 (2015), 2273-2282
Suggested Citation
Wittawat Kositwattanarerk, Soon Sheng Ong, Frédérique Oggier Construction a of lattices over number fields and block fading (wiretap) coding. IEEE Transactions on Information Theory. Vol.61, No.5 (2015), 2273-2282. doi:10.1109/TIT.2015.2416340 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/35813
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Title
Construction a of lattices over number fields and block fading (wiretap) coding
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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.