This article is cited in 1 paper

Coding Theory

Uniqueness of Some Optimal Superimposed Codes

S. Hong^a, Kim Hyun Kwang^a, S. N. Kapralov^b, Oh Dong Yeol<sup>c

a</sup> Pohang University of Science and Technology
^b Technical University of Gabrovo
^c Korea Advanced Institute of Science and Technology

Abstract: Four new results on the uniqueness of optimal superimposed codes are presented, namely, the uniqueness of $(w,r)$ superimposed codes of size $N\times T$ with $\displaystyle N=\binom{w+r+1}w$ and $T=w+r+1$ and the uniqueness of $(2,2)$ superimposed codes of size $18\times9$, $(2,2)$ superimposed codes of size $14\times7$, and $(3,3)$ superimposed codes of size $66\times11$.

UDC: 621.391.15

Received: 15.09.2006
Revised: 16.01.2007

 English version: Problems of Information Transmission, 2007, 43:2, 113–123

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