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1.
7 p, 576.8 KB Hadamard Z₂Z₄Q₈-codes : rank and kernel / Montolio, Pere (Universitat Oberta de Catalunya) ; Rifà i Coma, Josep (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Hadamard Z₂Z₄Q₈-codes are Hadamard binary codes coming from a subgroup of the direct product of Z₂, Z₄ and Q ₈ groups, where Q ₈ is the quaternionic group. We characterize Hadamard Z₂Z₄Q₈-codes as a quotient of a semidirect product of Z₂Z₄-linear codes and we show that all these codes can be represented in a standard form, from a set of generators. [...]
Springer 2015 (CIM Series in Mathematical Sciences) - 10.1007/978-3-319-17296-5_29
Coding Theory and Applications. Palmela Castle, Portugal, Vol. 3, 2015 , p. 273-279  
2.
19 p, 1.9 MB Construction of Hadamard Z₂Z₄Q₈-codes for each allowable value of the rank and dimension of the kernel / Montolio, Pere (Universitat Oberta de Catalunya) ; Rifà i Coma, Josep (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
This work deals with Hadamard Z₂Z₄Q₈-codes, which are binary codes after a Gray map from a subgroup of a direct product of Z₂, Z₄ and Q₈ groups, where Q₈ is the quaternionic group. In a previous work, these kind of codes were classified in five shapes. [...]
2015 - 10.1109/TIT.2015.2398869
IEEE transactions on information theory, Vol. 61 Issue 4 (April 2015) , p. 1948-1958  

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