Geodesic
Group Partitions and Mixed Perfect Codes
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 57-60

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Let G be a finite abelian group of the order p r and type (p, ..., p), where p is a prime. A necessary and sufficient condition is determined for the existence of subgroups G1, G2, ⋯, Gn, one of the order pa and the rest of the order pb , such that G = G1 ∪ G2 ∪ ⋯ ∪ Gn and Gi, ∩ Gj,= {θ} when i ≠ j. 
Lindström, Bernt. Group Partitions and Mixed Perfect Codes. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 57-60. doi: 10.4153/CMB-1975-011-2
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     author = {Lindstr\"om, Bernt},
     title = {Group {Partitions} and {Mixed} {Perfect} {Codes}},
     journal = {Canadian mathematical bulletin},
     pages = {57--60},
     year = {1975},
     volume = {18},
     number = {1},
     doi = {10.4153/CMB-1975-011-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-011-2/}
}
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