On linear codes with random multiplier vectors and the maximum trace dimension property

Let CC be a linear code of length nn and dimension kk over the finite field Fqm{{\mathbb{F}}}_{{q}^{m}}. The trace code Tr(C){\rm{Tr}}\left(C) is a linear code of the same length nn over the subfield Fq{{\mathbb{F}}}_{q}. The obvious upper bound for the dimension of the trace code over Fq{{\mathbb{F...

書目詳細資料
發表在:	Journal of Mathematical Cryptology
Main Authors:	Erdélyi Márton, Hegedüs Pál, Kiss Sándor Z., Nagy Gábor P.
格式:	Article
語言:	英语
出版:	De Gruyter 2024-02-01
主題:	trace codes subfield subcodes dimension of trace codes random alternant codes weight enumerator singleton defect 14g50 15a03
在線閱讀:	https://doi.org/10.1515/jmc-2023-0022

相似書籍

On the Dimensions of Hermitian Subfield Subcodes from Higher-Degree Places
由: Sabira El Khalfaoui, et al.
出版: (2024-04-01)

Enumeration of Optimal Equidistant Codes
由: Galina Bogdanova, et al.
出版: (2022-02-01)

LBLOCA accident investigation using TRACE code in a VVER-1000 reactor
由: S. Ekbatani-Amlashi, et al.
出版: (2020-05-01)

Traces et espaces de consommation
由: Franck Cochoy, et al.
出版: (2016-10-01)

Optimal (<italic>r</italic>, <italic>δ</italic>)-Locally Repairable Codes From Simplex Code and Cap Code
由: Qiang Fu, et al.
出版: (2020-01-01)

Quick Response Code Technology-based Contact Tracing Solutions to Mitigate Epidemic Outbreaks: A Review
由: Agburu O. Adikpe, et al.
出版: (2023-12-01)

Quick Response Code Technology-based Contact Tracing Solutions to Mitigate Epidemic Outbreaks: A Review
由: Agburu O. Adikpe, et al.
出版: (2023-12-01)

Quick Response Code Technology-based Contact Tracing Solutions to Mitigate Epidemic Outbreaks: A Review
由: Agburu O. Adikpe, et al.
出版: (2023-12-01)

Quick Response Code Technology-based Contact Tracing Solutions to Mitigate Epidemic Outbreaks: A Review
由: Agburu O. Adikpe, et al.
出版: (2023-12-01)

Quick Response Code Technology-based Contact Tracing Solutions to Mitigate Epidemic Outbreaks: A Review
由: Agburu O. Adikpe, et al.
出版: (2023-12-01)

Shifting Communicative Roles through Subcode Switching and Blending in Works of Zadie Smith
由: M. A. Dubovitskaya
出版: (2024-06-01)

Case Study: Students’ Code-Tracing Skills and Calibration of Questions for Computer Adaptive Tests
由: Robert Pinter, et al.
出版: (2020-10-01)

Le Petit Poucet digital ethnographié
由: Frank Cochoy
出版: (2019-06-01)

Complete Weight Enumerator of Torsions and Their Applications
由: Daotong Qiu, et al.
出版: (2025-04-01)

Some New Optimal Skew Cyclic Codes With Derivation
由: Asia Noor, et al.
出版: (2025-01-01)

A Communication-Efficient Distributed Matrix Multiplication Scheme with Privacy, Security, and Resiliency
由: Tao Wang, et al.
出版: (2024-08-01)

Linear codes over a general infinite family of rings and MacWilliams-type relations
由: Irwansyah, et al.
出版: (2022-11-01)

McEliece public key cryptosystem attack algorithm based on enumeration error vector
由: Jing-mei LIU, et al.
出版: (2014-05-01)

McEliece public key cryptosystem attack algorithm based on enumeration error vector
由: Jing-mei LIU, et al.
出版: (2014-05-01)

Investigating the effects of learning activities in a mobile Python tutor for targeting multiple coding skills
由: Geela Venise Firmalo Fabic, et al.
出版: (2018-12-01)

Consistent Flag Codes
由: Clementa Alonso-González, et al.
出版: (2020-12-01)

Analysis on Phenomena of HPR1000 Large Break Loss of Coolant Accident Based on TRACE Code
由: SUN Wei;XU Chao;FU Hao;LIU Yusheng
出版: (2022-11-01)

Take Note: the Effectiveness of Novice Programmers' Annotations on Examinations
由: Robert MCCARTNEY, et al.
出版: (2005-04-01)

On a relation between GAG codes and AG codes
由: Şenel Engin, et al.
出版: (2023-09-01)

Adaptively secure attribute-based encryption for traitor tracing
由: ying MAHai, et al.
出版: (2016-01-01)

Adaptively secure attribute-based encryption for traitor tracing
由: ying MAHai, et al.
出版: (2016-01-01)

Measurement-induced nonlocality based on the trace norm
由: Ming-Liang Hu, et al.
出版: (2015-01-01)

Cyclic Orbit Codes with the Normalizer of a Singer Subgroup
由: F. Bardestani, et al.
出版: (2015-03-01)

On the minimum distances of binary optimal LCD codes with dimension 5
由: Yang Liu, et al.
出版: (2024-06-01)

Linear Codes Over a Non-Chain Ring and the MacWilliams Identities
由: Tiantian Li, et al.
出版: (2020-01-01)

Comparative study of constitutive relations implemented in RELAP5 and TRACE – Part I: Methodology & wall friction
由: Sung Gil Shin, et al.
出版: (2022-09-01)

Impact of artificial intelligence on project management (PM): Multi-expert perspectives on advancing knowledge and driving innovation toward PM2030
由: Laurie Hughes, et al.
出版: (2025-09-01)

The <i>That</i>-Trace Effect: Evidence from Spanish–English Code-Switching
由: Bradley Hoot, et al.
出版: (2021-11-01)

Law Enforcement of Cybercrime: Tracking Digital Footprints of Cross-Border Hackers
由: Idham Qrida Nusa, et al.
出版: (2025-06-01)

Machine Learning-Based Security Pattern Recognition Techniques for Code Developers
由: Sergiu Zaharia, et al.
出版: (2022-12-01)

Maximum Likelihood Decoder for Variable Length Codes
由: Syed Misbahuddin, et al.
出版: (2012-12-01)

Fast decoders for qudit topological codes
由: Hussain Anwar, et al.
出版: (2014-01-01)

Comparison of contact tracing methods: A modelling study
由: Joanna X.R. Tan, et al.
出版: (2025-09-01)

Constacyclic codes over 𝔽q𝒮𝒯 and their applications
由: Amal S. Alali, et al.
出版: (2025-01-01)

On reversibility problem in DNA bases over a class of rings
由: Amal S. Alali, et al.
出版: (2024-12-01)