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

, Volume 40 (2) – Dec 16, 2004
1 page
1 Page

/lp/springer_journal/remark-on-construction-of-perfect-q-ary-codes-by-sequential-switchings-uBdvELK50e
Publisher
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
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### 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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