Geodesic
$0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances
Mathematica Bohemica, Tome 117 (1992) no. 3, pp. 271-282.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $a$ be a $0-1$ sequence with a finite number of terms equal to 1. The distance sequence $\delta^{(a)}$ of $a$ is defined as a sequence of the numbers of $(1-1)$-couples of given distances. The paper investigates such pairs of $0-1$ sequences $a,b$ that a is different from $b$ and $\delta^{(a)}=\delta^{(b)}$.
DOI : 10.21136/MB.1992.126288
Classification : 11B05, 11B83, 11K31
Keywords: uniform distribution; set covariance; $0\text{-}1$ sequence; distance sequence 
@article{10_21136_MB_1992_126288,
     author = {Le\v{s}anovsk\'y, Anton{\'\i}n and Rataj, Jan and Hojek, Stanislav},
     title = {$0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances},
     journal = {Mathematica Bohemica},
     pages = {271--282},
     publisher = {mathdoc},
     volume = {117},
     number = {3},
     year = {1992},
     doi = {10.21136/MB.1992.126288},
     mrnumber = {1184540},
     zbl = {0762.11008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.126288/}
}
TY  - JOUR
AU  - Lešanovský, Antonín
AU  - Rataj, Jan
AU  - Hojek, Stanislav
TI  - $0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances
JO  - Mathematica Bohemica
PY  - 1992
SP  - 271
EP  - 282
VL  - 117
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.126288/
DO  - 10.21136/MB.1992.126288
LA  - en
ID  - 10_21136_MB_1992_126288
ER  - 
%0 Journal Article
%A Lešanovský, Antonín
%A Rataj, Jan
%A Hojek, Stanislav
%T $0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances
%J Mathematica Bohemica
%D 1992
%P 271-282
%V 117
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.126288/
%R 10.21136/MB.1992.126288
%G en
%F 10_21136_MB_1992_126288
Lešanovský, Antonín; Rataj, Jan; Hojek, Stanislav. $0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances. Mathematica Bohemica, Tome 117 (1992) no. 3, pp. 271-282. doi : 10.21136/MB.1992.126288. http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.126288/

Cité par Sources :