Universal codes and unimodular lattices

Journal de Theorie des Nombres de Bordeaux

Volumn 8, Issue 2, 1996, Pages 369-376

  Chapman, Robin ^a   Solé, Patrick ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009865549     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.174     Document Type: Article

References (13)

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2. A. Bonnecaze, P. Solé & A. R. Calderbank,’Quaternary quadratic residue codes and unimodular lattices’, IEEE Trans. Inform. Theory, vol. 41, pp. 366-377, March 1995.
3. A.R. Calderbank, private communication (1995).
4. A.R. Calderbank, G. MacGuire, P.V. Kumar, T. Helleseth, Cyclic Codes over Z4, Locator polynomials, and Newton identities, preprint (1995).
5. A. R. Calderbank, N. J. A. Sloane, ’Double Circulant Codes over Z4 and Unimodular Lattices’, J. of Algebraic Combinatorics, submitted.
6. J. H. Conway & N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, 1988.
7. G. D. Forney, ’Coset Codes II: Binary Lattices and related codes’, IEEE Trans. Information Th. IT-34 (1988) 1152-1187.
8. H. Koch & B.B. Venkov, Ueber Ganzhalige Unimodulare Euklidische Gitter, Crelle 398 (1989) 144-168.
9. P. Loyer, P. Solé, ’Les Réseaux BW32 et U32 sont équivalents’, J. de Th. Des Nombres de Bordeaux 6 (1994) 359-362.
10. F. J. MacWilliams, N.J.A. Sloane, The theory of error correcting codes North-Holland (1977).
11. V. Pless, Z. Qian,’Cyclic Codes and Quadratic Residue Codes over Z4’, IEEE Trans. Information Theory submitted.
12. H-G. Quebbemann,’Zur Klassifikation unimodularer Gitter mit Isometrie von Primzahlordnung’, Crelle 326 (1981) 158-170.
13. R. Schulze-Pillot,’Quadratic Residue Codes and Cyclotomic lattices’, Arch. Math., Vol. 60 (1993) 40-65.