On the non-existence of 3-dimensional tiling in the Lee metric

European Journal of Combinatorics

Volumn 19, Issue 5, 1998, Pages 567-572

  Gravier, Sylvain ^a   Mollard, Michel ^b   Payan, Charles ^b  

^a UNIV GRENOBLE ALPES   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032388604     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1998.0211     Document Type: Article

References (7)

1. H. Everett and D. Hickerson, Packing and covering by translates of certain nonconvex bodies, Proc. Am. Math. Soc., 75 (1979), 87-91.
2. S. W. Golomb and L. R. Welch, Algebraic coding and the Lee metric, in Error Correcting Codes, Wiley, New York, 1968, 175-189.
3. S. W. Golomb and L. R. Welch, Perfect codes in the Lee metric and the packing of polyominoes, SIAM J. Ann. Discr. Math., 18 (1970), 302-317.
4. K. A. Post, Nonexistence theorems on perfect Lee codes over large alphabets, Information and Control, 29 (1975), 369-380.
5. S. K. Stein and S. Szabó, Algebra and tiling, Carus 25, MAA, 1994.
6. S. Szabó, On mosaics consisting of multidimensional crosses, Acta Math. Acad. Sc. Hung., 38 (1981), 191-203.
7. S. Szabó, On the problem of regularity of a type of n-dimensional tilings, Discr. Math., 45 (1983), 313-317.