[177024] |
Title: Decoding of linear codes over Galois rings. |
Written by: N. Suresh Babu and Karl-Heinz Zimmermann |
in: <em>IEEE Transactions on Information Theory</em>. May (2001). |
Volume: <strong>47</strong>. Number: (4), |
on pages: 1599-1603 |
Chapter: |
Editor: |
Publisher: IEEE: |
Series: |
Address: |
Edition: |
ISBN: 10.1109/18.923743 |
how published: 01-95 BaZi01 TIT |
Organization: |
School: |
Institution: |
Type: |
DOI: |
URL: |
ARXIVID: |
PMID: |
Note: khzimmermann, AEG
Abstract: We present a method for decoding an arbitrary linear code over a Galois ring ℛ by a process of lifting decoding algorithms for a family of linear codes over a finite field 𝒦 forming an α-element chain, where 𝒦 is the quotient field of ℛ and ℛ has characteristic pα. As a new result, this method also works for linear codes over ℛ which are nonfree ℛ-modules.