Results 11 to 20 of about 85 (47)

Skew Cyclic codes over $\F_q+u\F_q+v\F_q+uv\F_q$ [PDF]

, 2015
In this paper, we study skew cyclic codes over the ring $R=\F_q+u\F_q+v\F_q+uv\F_q$, where $u^{2}=u,v^{2}=v,uv=vu$, $q=p^{m}$ and $p$ is an odd prime. We investigate the structural properties of skew cyclic codes over $R$ through a decomposition theorem.
Shi, Minjia, Solé, Patrick, Yao, Ting
core   +4 more sources

Fast Multi-Sequence Shift-Register Synthesis with the Euclidean Algorithm [PDF]

, 2011
International audienceFeng and Tzeng's generalization of the Extended Euclidean Algorithm synthesizes the shortest--length linear feedback shift--register for \$s \geq 1\$ sequences, where each sequence has the the same length \$n\$. In this contribution,
Wachter-Zeh, Antonia, Zeh, Alexander
core   +5 more sources

Operation and performance of the ATLAS tile calorimeter in LHC Run 2 [PDF]

: The ATLAS tile calorimeter (TileCal) is the hadronic sampling calorimeter covering the central region of the ATLAS detector at the Large Hadron Collider (LHC).
Aad, G, Abbott, B, Abdallah, J, Abeling, K, Abicht, NJ, Abidi, SH, Aboulhorma, A, Abramowicz, H, Abreu, H, Abulaiti, Y, Acharya, BS, Adamczyk, L, Addepalli, SV, Addison, MJ, Adelman, J, Adiguzel, A, Adye, T, Affolder, AA, Afik, Y, Agaras, MN, Agarwala, J, Aggarwal, A, Agheorghiesei, C, Ahmad, A, Ahmadov, F, Ahmed, WS, Ahuja, S, Ai, X, Aielli, G, Aikot, A, Aitbenchikh, B, Aizenberg, I, Akbiyik, M, Akimov, AV, Akiyama, D, Akolkar, NN, Aktas, S, Al Khoury, K, Alberghi, GL, Albert, J, Albicocco, P, Albouy, GL, Alderweireldt, S, Alegria, ZL, Aleksa, M, Aleksandrov, IN, Alexa, C, Alexopoulos, T, Alfonsi, F, Algren, M, Alhroob, M, Ali, B, Ali, HMJ, Ali, S, Alibocus, SW, Aliev, M, Alimonti, G, Alkakhi, W, Allaire, C, Allbrooke, BMM, Allen, JF, Allport, PP, Aloisio, A, Alonso, F, Alpigiani, C, Alviggi, MG, Aly, M, Ambler, A, Amelung, C, Amerl, M, Ames, CG, Amidei, D, Amos, KR, Ananiev, V, Anastopoulos, C, Andeen, T, Anders, JK, Anderson, KJ, Andrean, SY, Andreazza, A, Angelidakis, S, Angerami, A, Anisenkov, AV, Annovi, A, Antel, C, Anthony, MT, Antipov, E, Antonelli, M, Anulli, F, Aoki, M, Aoki, T, Bourdarios, C Adam, Cardoso, M Alves, Coutinho, Y Amaral, Dos Santos, SP Amor, Estevez, M Alvarez, Fernandez, A Alvarez, Flores, CA Allendes, Tamlihat, M Ait, Åkesson, TPA   +99 more
core   +10 more sources

A NOTE ON NEGACYCLIC AND CYCLIC CODES OF LENGTH p(s) OVER A FINITE FIELD OF CHARACTERISTIC p [PDF]

, 2009
Recently, the minimum Hamming weights of negacyclic and cyclic codes of length p(s) over a finite field of characteristic p are determined in [4]. We show that the minimum Hamming weights of such codes can also be obtained immediately using the results ...
ÖZADAM, Hakan, Özbudak, Ferruh
core   +1 more source

On Indecomposable Ideals Over Some Algebras [PDF]

, 2019
In this paper we investigate a family of algebras endowed with a suitable non-degenerate bilinear form that can be used to define two different notions of dual for a given right ideal.
Ardizzoni, Alessandro, Stumbo, Fabio
core   +1 more source

Linear codes with arbitrary dimensional hull and pure LCD code

, 2023
In this paper, we introduce a general construction of linear codes with small dimension hull from any non LCD codes. Furthermore, we show that for any linear code $\Co$ over $\F_q$ ($q > 3$) with $dim(Hull(\Co))=h$ there exist an equivalent codes $\Co_j$
Youcef, Maouche
core  

Two-dimensional cyclic codes over a finite chain ring

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we have determined the generators and rank of a 2D cyclic code of length mn over a finite chain ring ℛ with residue field 𝔽q, where m is arbitrary and q ≡ 1(mod n).
Garg Disha, Dutt Sucheta
doaj   +1 more source

Structure and Rank of Cyclic codes over a class of non-chain rings

, 2023
The rings $Z_{4}+\nu Z_{4}$ have been classified into chain rings and non-chain rings on the basis of the values of $\nu^{2} \in Z_{4}+\nu Z_{4}.$ In this paper, the structure of cyclic codes of arbitrary length over the rings $Z_{4}+\nu Z_{4}$ for those
Dutt, Sucheta, Jain, Nikita, Sehmi, Ranjeet   +2 more
core  

A Brief Encounter with Linear Codes [PDF]

, 2014
While studying irreducible polynomials and fields our abstract algebra professor briefly mentioned that they play a role in error correcting and detecting codes. It was this comment that fostered the idea of further study on this topic.
El-Bakri, Brent
core   +1 more source

Skew cyclic codes over 𝔻4R and their applications to DNA codes construction

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The fundamental aim of this research is to analyze the configuration of 𝔽4R submodules, skew cyclic codes over 𝔽4R and establish their connection with DNA codes, where 𝔽4 is a field of order 4 and R = 𝔽4 + u𝔽4 + v𝔽4 + w𝔽4 with u2 = u, v2 = v, w2 = w, uv =
Rehman Nadeem ur, Ahmad Mohammad Fareed, Azmi Mohd   +2 more
doaj   +1 more source