2 citations · 4 across the 7 of their papers we have counts for
7 papers
Regular sets of circulant quartic graphs
A. Abdollahi, J. Bagherian, F. Jafari +3
For a graph and nonnegative integers and , a nonempty proper subset is called an -regular set if every vertex in has exactly neighbors…
Improved bounds on the size of permutation codes under Kendall -metric
Farzad Parvaresh, Reza Sobhani, Alireza Abdollahi +3
In order to overcome the challenges caused by flash memories and also to protect against errors related to reading information stored in DNA molecules in the shotgun sequencing met…
New Upper Bounds on the Size of Permutation Codes under Kendall -Metric
Alireza Abdollahi, Javad Bagherian, Fatemeh Jafari +3
We first give two methods based on the representation theory of symmetric groups to study the largest size of permutation codes of length i.e. subsets of the set …
On the structure of repeated-root polycyclic codes over local rings
Maryam Bajalan, Edgar Martinez-Moro, Reza Sobhani +2
This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempote…
New Bounds on the Size of Permutation Codes With Minimum Kendall -distance of Three
A. Abdollahi, J. Bagherian, F. Jafari +3
We study , the size of the largest subset of the set of all permutations with minimum Kendall -distance . Using a combination of group theory and integer progra…
A conjecture of Cameron and Kiyota on sharp characters with prescribed values
A. Abdollahi, J. Bagherian, M. Khatami +2
Let be a virtual (generalized) character of a finite group and be the image of on . The pair is said to be sharp of type…
A note on complete classification of -constacyclic codes of length over $\F_{p^m}+u\F_{p^m}+u^2\F_{p^m}$
Reza Sobhani, Zhonghua Sun, Liqi Wang +1
For units and in $\F_{p^m}$, the structure of -constacyclic codes of length over is studied and sel…