Class of TCM codes over rings of integers modulo-q

1996 ◽  
Vol 32 (18) ◽  
pp. 1668 ◽  
Author(s):  
M. Ahmadian-Attari ◽  
P.G. Farrell
Keyword(s):  
Codes Over Rings ◽  
Rings Of Integers

The Study of Coded CPM Schemes

2012 ◽  
Vol 198-199 ◽  
pp. 1408-1412
Author(s):  
Lin Bo Su ◽  
Jian Hua Chen ◽  
Ying Peng Hu
Keyword(s):  
Fading Channels ◽  
Convolutional Codes ◽  
Continuous Phase ◽  
Coded Modulation ◽  
Superior Performance ◽  
Continuous Phase Modulation ◽  
Codes Over Rings ◽  
Constant Envelope ◽  
Modulation Schemes ◽  
Serially Concatenated

Continuous Phase Modulation (CPM) schemes belong to a class of constant-envelope digital modulation schemes, the constant-envelope nature of the CPM signals makes them robust for the nonlinear and fading channels, and very useful for the satellite and/or the mobile radio channels. Comparing to PSK modulation, CPM modulation can not only provide spectral economy, but also exhibit a “coding gain”. CPM can be decomposed into a Continuous Phase Encoder (CPE) followed by a Memoryless Modulator (MM), this allows many new coded modulation schemes of combination of convolutional encoder and CPM modulator to be possible, such as serially-concatenated CPM (SC-CPM), SC-CPM with Convolutional Codes over Rings, pragmatic CPM (P-CPM), Concatenation of convolutional endocder and extended CE（CCEC）, etc. Some simulations show that these new CPM schemes can offer superior performance.

Higher weights for codes over rings

2011 ◽  
Vol 22 (2) ◽  
pp. 113-135 ◽  
Author(s):  
Steven T. Dougherty ◽  
Sunghyu Han ◽  
Hongwei Liu
Keyword(s):  
Codes Over Rings ◽  
Higher Weights

scholarly journals DNA cyclic codes over rings

2017 ◽  
Vol 11 (1) ◽  
pp. 83-98 ◽  
Author(s):  
Nabil Bennenni ◽  
◽  
Kenza Guenda ◽  
Sihem Mesnager ◽  
Keyword(s):  
Cyclic Codes ◽  
Codes Over Rings

On a Theorem of Kawamoto on Normal Bases of Rings of Integers, II

2005 ◽  
Vol 48 (4) ◽  
pp. 576-579 ◽  
Author(s):  
Humio Ichimura
Keyword(s):  
Prime Number ◽  
Number Field ◽  
Class Group ◽  
Natural Homomorphism ◽  
Ideal Class ◽  
Ideal Class Group ◽  
Integral Basis ◽  
Rings Of Integers ◽  
Integer Ring ◽  
The Ideal

AbstractLet m = pe be a power of a prime number p. We say that a number field F satisfies the property when for any a ∈ F×, the cyclic extension F(ζm, a1/m)/F(ζm) has a normal p-integral basis. We prove that F satisfies if and only if the natural homomorphism is trivial. Here K = F(ζm), and denotes the ideal class group of F with respect to the p-integer ring of F.

Representations of Cyclic Groups in Rings of Integers, I

1962 ◽  
Vol 76 (1) ◽  
pp. 73 ◽  
Author(s):  
A. Heller ◽  
I. Reiner
Keyword(s):  
Cyclic Groups ◽  
Rings Of Integers
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