scholarly journals Essential idempotents and simplex codes

2017 ◽  
Vol 4 (2) ◽  
pp. 181-181
Author(s):  
Gladys Chalom ◽  
Raul A. Ferraz ◽  
Cesar Polcino Milies
Keyword(s):  
Simplex Codes

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].

On Senary Simplex Codes

2001 ◽  
pp. 112-121 ◽  
Author(s):  
Manish K. Gupta ◽  
David G. Glynn ◽  
T. Aaron Gulliver
Keyword(s):  
Simplex Codes

On the ℤq-Simplex codes and its weight distribution for dimension 2

2015 ◽  
Vol 07 (03) ◽  
pp. 1550030
Author(s):  
C. Durairajan ◽  
J. Mahalakshmi ◽  
P. Chella Pandian
Keyword(s):  
Weight Distribution ◽  
Linear Code ◽  
Prime Power ◽  
Dimension 2 ◽  
New Codes ◽  
Simplex Codes ◽  
Order Element

In this paper, we have defined ℤq-linear code and constructed some new codes. In particular, we have introduced the concept of ℤq-Simplex codes and proved that it is a [Formula: see text]-linear code for any integer q ≥ 2 and k ≥ 3 where p is the least order element in ℤq. We have given the weight distribution of ℤq-Simplex codes of dimension 2 when q is a prime power and when q is a product of distinct primes.

scholarly journals Optimization of a DPP-BOTDA sensor with 25 cm spatial resolution over 60 km standard single-mode fiber using Simplex codes and optical pre-amplification

2012 ◽  
Vol 20 (7) ◽  
pp. 6860 ◽  
Author(s):  
Marcelo A. Soto ◽  
Mohammad Taki ◽  
Gabriele Bolognini ◽  
Fabrizio Di Pasquale
Keyword(s):  
Spatial Resolution ◽  
Single Mode ◽  
Single Mode Fiber ◽  
Simplex Codes

scholarly journals A Class of Punctured Simplex Codes Which Are Proper for Error Detection

2012 ◽  
Vol 58 (6) ◽  
pp. 3861-3880
Author(s):  
Marco Baldi ◽  
Marco Bianchi ◽  
Franco Chiaraluce ◽  
Torleiv Klove
Keyword(s):  
Error Detection ◽  
Simplex Codes

scholarly journals Partial permutation decoding for simplex codes

2012 ◽  
Vol 6 (4) ◽  
pp. 505-516 ◽  
Author(s):  
Washiela Fish ◽  
◽  
Jennifer D. Key ◽  
Eric Mwambene
Keyword(s):  
Permutation Decoding ◽  
Simplex Codes

Hamming and simplex codes for the sum-rank metric

2020 ◽  
Vol 88 (8) ◽  
pp. 1521-1539
Author(s):  
Umberto Martínez-Peñas
Keyword(s):  
Rank Metric ◽  
Simplex Codes
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