scholarly journals On the representability of integer polymatroids: Applications in linear code construction

2015 ◽  
Author(s):  
Amir Salimi ◽  
Muriel Medard ◽  
Shuguang Cui
Keyword(s):  
Linear Code ◽  
Code Construction ◽  
Integer Polymatroids

On some punctured codes of ℤq-Simplex codes

2021 ◽  
pp. 2250012
Author(s):  
J. Prabu ◽  
J. Mahalakshmi ◽  
C. Durairajan ◽  
S. Santhakumar
Keyword(s):  
Prime Divisor ◽  
Weight Distribution ◽  
Linear Code ◽  
Prime Power ◽  
Punctured Codes ◽  
New Codes ◽  
Simplex Codes ◽  
Simplex Code ◽  
Partial Weight ◽  
Unit Formula

In this paper, we have constructed some new codes from [Formula: see text]-Simplex code called unit [Formula: see text]-Simplex code. In particular, we find the parameters of these codes and have proved that it is a [Formula: see text] [Formula: see text]-linear code, where [Formula: see text] and [Formula: see text] is a smallest prime divisor of [Formula: see text]. When rank [Formula: see text] and [Formula: see text] is a prime power, we have given the weight distribution of unit [Formula: see text]-Simplex code. For the rank [Formula: see text] we obtain the partial weight distribution of unit [Formula: see text]-Simplex code when [Formula: see text] is a prime power. Further, we derive the weight distribution of unit [Formula: see text]-Simplex code for the rank [Formula: see text] [Formula: see text].

Computing an Invariant of a Linear Code

2020 ◽  
pp. 218-233
Author(s):  
Mijail Borges-Quintana ◽  
Miguel Ángel Borges-Trenard ◽  
Edgar Martínez-Moro ◽  
Gustavo Torres-Guerrero
Keyword(s):  
Linear Code

scholarly journals Performance evaluation of flexible cross correlation (FCC) OCDMA code based on radio over fiber (RoF) simulation system

2019 ◽  
Vol 13 (2) ◽  
pp. 543
Author(s):  
Z. Ibrahim ◽  
C.B.M. Rashidi ◽  
S.A. Aljunaid ◽  
A.K. Rahman ◽  
M.S. Anuar
Keyword(s):  
Bit Error Rate ◽  
Error Rate ◽  
Cross Correlation ◽  
Local Area Network ◽  
Multiple Access Interference ◽  
Local Area ◽  
Simulation System ◽  
Area Network ◽  
Bit Rate ◽  
Code Construction

<span>This paper investigates the performance of an elegance code set algorithm known as Flexible Cross Correlation (FCC) code to be run into a simulation test of proposed RoF system. Executing OCDMA Code into RoF framework is seen as a promising technique for enhancing spectral efficiency and meanwhile enhanced the length of fiber optic cable and data bit rate execution while reduce the passive equipment device. This code can efficaciously reduce the results of phase-induced intensity noise (PIIN), it has the multiple access interference (MAI) cancellation belongs to RoF system and at the same time simple and easy within the code construction. Bit error rate (BER) performance is assessed for this proposed simulation system. The evaluation made based on the performance of fiber length, data bit rate, related with Bit Error Rate (BER) and also the complexity of the system. The extensive simulation results reveal FCC code possibly will accomplish sufficiently up to 51 km at BER 10-9 for data rate 155 Mbps as matched to 622 Mbps with exponentially increases at BER 10-12 error floor and it is fit for short haul networking such as FTTH and local area network (LAN).</span>

scholarly journals Nonexistence Proofs for Five Ternary Linear Codes

2002 ◽  
Vol 1 (1) ◽  
pp. 35
Author(s):  
S. GURITMAN
Keyword(s):  
Linear Code ◽  
Minimum Distance ◽  
Linear Codes ◽  
Ternary Linear Codes

<p>An [n,k, dh-code is a ternary linear code with length n, dimension k and minimum distance d. We prove that codes with parameters [110,6, 72h, [109,6,71h, [237,6,157b, [69,7,43h, and [120,9,75h do not exist.</p>

scholarly journals Improving Image Transmission by Using Polar Codes and Successive Cancellation List Decoding

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Álvaro Garcia ◽  
Maria De Lourdes Melo Guedes Alcoforado ◽  
Francisco Madeiro ◽  
Valdemar Cardoso Da Rocha Jr.
Keyword(s):  
Signal To Noise Ratio ◽  
Additive White Gaussian Noise ◽  
Structural Similarity ◽  
Image Transmission ◽  
Polar Codes ◽  
Code Construction ◽  
Successive Cancellation ◽  
Natural Choice ◽  
Shift Keying

This paper investigates the transmission of grey scale images encoded with polar codes and de-coded with successive cancellation list (SCL) decoders in the presence of additive white Gaussian noise. Po-lar codes seem a natural choice for this application be-cause of their error-correction efficiency combined with fast decoding. Computer simulations are carried out for evaluating the influence of different code block lengths in the quality of the decoded images. At the encoder a default polar code construction is used in combination with binary phase shift keying modulation. The results are compared with those obtained by using the clas-sic successive cancellation (SC) decoding introduced by Arikan. The quality of the reconstructed images is assessed by using peak signal to noise ratio (PSNR) and the structural similarity (SSIM) index. Curves of PSNR and SSIM versus code block length are presented il-lustrating the improvement in performance of SCL in comparison with SC.

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