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 Even poset and a parity result for binary linear code

2006 ◽  
Vol 418 (2-3) ◽  
pp. 591-594 ◽  
Author(s):  
Yaokun Wu
Keyword(s):  
Linear Code ◽  
Binary Linear Code

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].

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 A Novel Linear Code Nomenclature for Complex Carbohydrates.

2002 ◽  
Vol 14 (77) ◽  
pp. 127-137 ◽  
Author(s):  
Ehud Banin ◽  
Yael Neuberger ◽  
Yaniv Altshuler ◽  
Asaf Halevi ◽  
Ori Inbar ◽  
...  
Keyword(s):  
Linear Code ◽  
Complex Carbohydrates

Monotone Span Program vs. Linear Code

2016 ◽  
Vol 25 (6) ◽  
pp. 991-998
Author(s):  
Chunming Tang ◽  
Yuenai Chen ◽  
Xuhong Gao
Keyword(s):  
Linear Code ◽  
Monotone Span Program

scholarly journals A Lightweight BCH Code Corrector of TRNG with Measurable Dependence

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Hojoong Park ◽  
Yongjin Yeom ◽  
Ju-Sung Kang
Keyword(s):  
Linear Code ◽  
Random Number ◽  
Random Number Generator ◽  
The Other ◽  
Bch Code ◽  
Compression Rate ◽  
Number Generator ◽  
Von Neumann ◽  
Other Hand ◽  
Cryptographic Algorithms

We propose a new lightweight BCH code corrector of the random number generator such that the bitwise dependence of the output value is controllable. The proposed corrector is applicable to a lightweight environment and the degree of dependence among the output bits of the corrector is adjustable depending on the bias of the input bits. Hitherto, most correctors using a linear code are studied on the direction of reducing the bias among the output bits, where the biased input bits are independent. On the other hand, the output bits of a linear code corrector are inherently not independent even though the input bits are independent. However, there are no results dealing with the independence of the output bits. The well-known von Neumann corrector has an inefficient compression rate and the length of output bits is nondeterministic. Since the heavy cryptographic algorithms are used in the NIST’s conditioning component to reduce the bias of input bits, it is not appropriate in a lightweight environment. Thus we have concentrated on the linear code corrector and obtained the lightweight BCH code corrector with measurable dependence among the output bits as well as the bias. Moreover, we provide some simulations to examine our results.

Sign in / Sign up

Export Citation Format

Share Document