31 citations · 207 across the 92 of their papers we have counts for
107 papers
Perfect Codes in the Johnson Scheme Hardly Exist
Tuvi Etzion, Xiande Zhang, Wenjie Zhong
In his pioneer work from 1973, Delsarte conjectured that there are no nontrivial perfect codes in the Johnson scheme J. While in most other important schemes the existence p…
Covering Sequences and Covering-Sequences Codes
Tuvi Etzion
An -covering sequence is a cyclic sequence, over the finite field $\F_q$, whose consecutive -tuples form a code of length and covering radius . An -co…
Optimal Non-Binary Single-Track Gray Code
Tuvi Etzion
A single-track Gray code is a cyclic Gray code with codewords of length , over an alphabet of size , such that all the tracks that correspond to the distinct coordina…
Closed Expressions for the Weight Distributions of Codes Associated with Perfect Codes
Tuvi Etzion, Denis Krotov, Minjia Shi +1
Perfect codes are arguably the most fascinating structures in combinatorial coding theory, and their classification and weight distribution are of considerable interest. This class…
One-factorizations of complete multipartite graphs with distance constraints
Yuli Tan, Junling Zhou, Tuvi Etzion
The present paper considers multipartite graphs from the perspective of design theory and coding theory. A one-factor of the complete multipartite graph (with $…
Binary and Non-Binary Self-Dual Sequences and Maximum Period Single-Track Gray Codes
Tuvi Etzion
Binary self-dual sequences have been considered and analyzed throughout the years, and they have been used for various applications. Motivated by a construction for single-track Gr…