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On ℤ4-linear codes with the parameters of Reed-Muller codes

On ℤ4-linear codes with the parameters of Reed-Muller codes For any pair of integers r and m, 0 ≤ r ≤ m, we construct a class of quaternary linear codes whose binary images under the Gray map are codes with the parameters of the classical rth-order Reed-Muller code RM(r, m). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On ℤ4-linear codes with the parameters of Reed-Muller codes

Problems of Information Transmission , Volume 43 (1) – Apr 20, 2007

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
DOI
10.1134/S0032946007010048
Publisher site
See Article on Publisher Site

Abstract

For any pair of integers r and m, 0 ≤ r ≤ m, we construct a class of quaternary linear codes whose binary images under the Gray map are codes with the parameters of the classical rth-order Reed-Muller code RM(r, m).

Journal

Problems of Information TransmissionSpringer Journals

Published: Apr 20, 2007

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