Design of Low-Complexity Convolutional Codes over GF(q)

07/06/2018
by   Rami Klaimi, et al.
0

This paper proposes a new family of recursive systematic convolutional codes, defined in the non-binary domain over different Galois fields GF(q) and intended to be used as component codes for the design of non-binary turbo codes. A general framework for the design of the best codes over different GF(q) is described. The designed codes offer better performance than the non-binary convolutional codes found in the literature. They also outperform their binary counterparts when combined with their corresponding QAM modulation or with lower order modulations.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/26/2019

Binary LCD Codes from Z_2Z_2[u]

Linear complementary dual (LCD) codes over finite fields are linear code...
research
04/05/2022

Non-Binary Polar Codes for Spread-Spectrum Modulations

This paper proposes a new coded modulation scheme for reliable transmiss...
research
01/21/2021

Some punctured codes of several families of binary linear codes

Two general constructions of linear codes with functions over finite fie...
research
08/29/2018

Decoding binary Reed-Muller codes via Groebner bases

The binary Reed-Muller codes can be characterized as the radical powers ...
research
03/03/2020

Design of Convergence-Optimized Non-binary LDPC Codes over Binary Erasure Channel

In this letter, we present a hybrid iterative decoder for non-binary low...
research
02/02/2021

On Skew Convolutional and Trellis Codes

Two new classes of skew codes over a finite field are proposed, called ...
research
08/10/2021

Classification of 3 mod 5 arcs in PG(3,5)

The proof of the non-existence of Griesmer [104, 4, 82]_5-codes is just ...

Please sign up or login with your details

Forgot password? Click here to reset