Geodesic
Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements
Matematičeskie voprosy kriptografii, Tome 9 (2018), pp. 101-124

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

For the additive group of a vector space of increasing dimension $m$ over a field of two elements we study the moments of a random variable equal to the weight deficit of a random equiprobable involution formed by the product of $2^{m-1}$ independent binary cycles. Exact and asymptotic formulas for the binomial moments and for the variance are obtained. 
@article{MVK_2018_9_a5,
     author = {V. N. Sachkov and I. A. Kruglov},
     title = {Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {101--124},
     publisher = {mathdoc},
     volume = {9},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2018_9_a5/}
}
TY  - JOUR
AU  - V. N. Sachkov
AU  - I. A. Kruglov
TI  - Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements
JO  - Matematičeskie voprosy kriptografii
PY  - 2018
SP  - 101
EP  - 124
VL  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MVK_2018_9_a5/
LA  - ru
ID  - MVK_2018_9_a5
ER  - 
%0 Journal Article
%A V. N. Sachkov
%A I. A. Kruglov
%T Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements
%J Matematičeskie voprosy kriptografii
%D 2018
%P 101-124
%V 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MVK_2018_9_a5/
%G ru
%F MVK_2018_9_a5
V. N. Sachkov; I. A. Kruglov. Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements. Matematičeskie voprosy kriptografii, Tome 9 (2018), pp. 101-124. http://geodesic.mathdoc.fr/item/MVK_2018_9_a5/