Rom Varshamov
Rom Rubenovich Varshamov was a Soviet Armenian mathematician who worked in coding theory, especially on error-correcting codes and number theory.
Varshamov studied in Tbilisi with Arnold Walfisz, as well as in Tomsk. After that, he was a researcher in Moscow at the Steklov Institute of Mathematics with Ivan Matveyevich Vinogradov, especially on Number theory and Coding theory, and the Ministry of Radio Engineering. In 1957 he proved the Gilbert-Varshamov bound for linear codes. From 1968 he worked in Yerevan and was director of the Computer Centre of the Academy of Sciences of the Armenian SSR. He was author and co-author of more than 25 scientific articles and also a member of the Armenian National Academy of Sciences.
Selected bibliography
- Varshamov, R. R.: Estimate of the number of signals in error correcting codes, Dokl. Akad. Nauk SSSR 117, 739–741, 1957
- Varshamov, R. R.: A class of codes for symmetric channels and a problem from the additive theory of numbers, IEEE Trans. Inf. Theory 19, 92–95, 1973
- Varshamov, R. R.: On a method in the theory of reducibility of polynomials over a finite field, Sov. Math., Dokl. 44, No.1, 194–199, 1992; translation from Dokl. Akad. Nauk SSSR 319, No.4, 787-791, 1991