Remark on “Construction of Perfect q-ary Codes by Sequential Switchings of $${\tilde \alpha }$$ -Components” Published in Probl. Peredachi Inf., 2004, no. 1

Remark on “Construction of Perfect q-ary Codes by Sequential Switchings of $${\tilde \alpha... Problems of Information Transmission, Vol. 40, No. 2, 2004, p. 186. Translated from Problemy Peredachi Informatsii, No. 2, 2004, p. 94. Original Russian Text Copyright c 2004 by Los'. LETTERS TO THE EDITOR Remark on \Construction of Perfect q-ary Codes by Sequential Switchings of e-Components" Published in Probl. Peredachi Inf., 2004, no. 1 In Section 1 and in the statement of Theorem 2 of the paper \Construction of Perfect q-ary Codes by Sequential Switchings of e-Components" (Probl. Peredachi Inf., 2004, vol. 40, no. 1, pp. 40{47), the author has introduced a misprint: instead of the formula m2 m2 q 1 m2 q 1 +1 (m2) ( )( ) q1 q1 q q F (n) >q (3q) (1) for the number F (n) of di erent perfect q-ary codes of length n =(q 1)=(q 1), m  2, there should stand m2 q q 1 m2 q 1 (m2) (m2) ( ) q1 q1 q q F (n) >q (3q) : (2) Proofs of all propositions and theorems are valid; in particular, the formula (given at the end of the proof of Theorem 2) N N N 1 2 2 F (n) >q (3q) (3) m2 q 1 m2 (m2) q 1 q1 for the number of such codes of length n is valid, where N = q and N = q . 1 2 Substituting these values into (3) yields (2). The author tenders his apologies. April 19, 2004. A.V. Los' 0032-9460/04/4002-0186 2004 MAIK \Nauka/Interperiodica" http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Remark on “Construction of Perfect q-ary Codes by Sequential Switchings of $${\tilde \alpha }$$ -Components” Published in Probl. Peredachi Inf., 2004, no. 1

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2004 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/B:PRIT.0000043932.90277.bd
Publisher site
See Article on Publisher Site

Abstract

Problems of Information Transmission, Vol. 40, No. 2, 2004, p. 186. Translated from Problemy Peredachi Informatsii, No. 2, 2004, p. 94. Original Russian Text Copyright c 2004 by Los'. LETTERS TO THE EDITOR Remark on \Construction of Perfect q-ary Codes by Sequential Switchings of e-Components" Published in Probl. Peredachi Inf., 2004, no. 1 In Section 1 and in the statement of Theorem 2 of the paper \Construction of Perfect q-ary Codes by Sequential Switchings of e-Components" (Probl. Peredachi Inf., 2004, vol. 40, no. 1, pp. 40{47), the author has introduced a misprint: instead of the formula m2 m2 q 1 m2 q 1 +1 (m2) ( )( ) q1 q1 q q F (n) >q (3q) (1) for the number F (n) of di erent perfect q-ary codes of length n =(q 1)=(q 1), m  2, there should stand m2 q q 1 m2 q 1 (m2) (m2) ( ) q1 q1 q q F (n) >q (3q) : (2) Proofs of all propositions and theorems are valid; in particular, the formula (given at the end of the proof of Theorem 2) N N N 1 2 2 F (n) >q (3q) (3) m2 q 1 m2 (m2) q 1 q1 for the number of such codes of length n is valid, where N = q and N = q . 1 2 Substituting these values into (3) yields (2). The author tenders his apologies. April 19, 2004. A.V. Los' 0032-9460/04/4002-0186 2004 MAIK \Nauka/Interperiodica"

Journal

Problems of Information TransmissionSpringer Journals

Published: Dec 16, 2004

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