Geodesic
Finite quasi-Frobenius modules, applications to codes and linear recurrences
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 229-254

Voir la notice de l'article provenant de la source Math-Net.Ru

A simple exposition of the main properties of the quasi-Frobenius modules over finite commutative rings with identity elements. The presented results show the special role of such modules in the theory of linear recurrences and in the theory of linear codes over rings and modules. In particular it is proved that the general weight functions of the linear code over a ring and the dual code over the corresponding $QF$-module are connected by the Mac-Williams identity. 
@article{FPM_1995_1_1_a12,
     author = {A. A. Nechaev},
     title = {Finite {quasi-Frobenius} modules, applications to codes and linear recurrences},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {229--254},
     publisher = {mathdoc},
     volume = {1},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a12/}
}
TY  - JOUR
AU  - A. A. Nechaev
TI  - Finite quasi-Frobenius modules, applications to codes and linear recurrences
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 229
EP  - 254
VL  - 1
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a12/
LA  - ru
ID  - FPM_1995_1_1_a12
ER  - 
%0 Journal Article
%A A. A. Nechaev
%T Finite quasi-Frobenius modules, applications to codes and linear recurrences
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 229-254
%V 1
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a12/
%G ru
%F FPM_1995_1_1_a12
A. A. Nechaev. Finite quasi-Frobenius modules, applications to codes and linear recurrences. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 229-254. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a12/