Geodesic
Placement of points on a torus and in a plane
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 196-200 
V. A. Yudin. Placement of points on a torus and in a plane. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 196-200. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a14/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Estimates from above of cardinality of codes on a torus are given. For a special type of lattice spirals their packing radius is determined and covering radius is estimated.

[1] Soljanin E., “Written sequences on the plane”, IEEE Trans. Inform. Theory, 48:6 (2002), 1344–1354 | DOI | MR | Zbl

[2] Delsart F., Algebraicheskii podkhod k skhemam otnosheniya teorii kodirovaniya, Mir, M., 1973

[3] Mak-Vilyams F. Dzh., Sloen N. Dzh. A., Teoriya kodov, ispravlyayuschikh oshibki, Svyaz, M., 1979

[4] Yudin V. A., “Upakovka sharov v Evklidovo prostranstvo i ekstremalnye svoistva trigonometricheskikh polinomov”, Diskret. matematika, 1:2 (1989), 155–158 | MR | Zbl

[5] Plotkin M., “Dvoichnye kody s zadannym minimalnym rasstoyaniem”, Kibern. sb., 7, IL, M., 1963, 60–70

[6] Yudin V. A., “Diofantovy priblizheniya v ekstremalnykh zadachakh $L_2$”, Dokl. AN SSSR, 251:1 (1980), 54–57 | MR | Zbl

[7] Khinchin A. Ya., Tsepnye drobi, Nauka, M., 1978 | MR