Completely Regular Codes in Distance Regular Graphs
Home > Mathematics and Science Textbooks > Mathematics > Combinatorics and graph theory > Completely Regular Codes in Distance Regular Graphs: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Completely Regular Codes in Distance Regular Graphs: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Completely Regular Codes in Distance Regular Graphs: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)


     0     
5
4
3
2
1



International Edition


X
About the Book

The concept of completely regular codes was introduced by Delsarte in his celebrated 1973 thesis, which created the field of Algebraic Combinatorics. This notion was extended by several authors from classical codes over finite fields to codes in distance-regular graphs. Half a century later, there was no book dedicated uniquely to this notion. Most of Delsarte examples were in the Hamming and Johnson graphs. In recent years, many examples were constructed in other distance regular graphs including q-analogues of the previous, and the Doob graph. Completely Regular Codes in Distance Regular Graphs provides, for the first time, a definitive source for the main theoretical notions underpinning this fascinating area of study. It also supplies several useful surveys of constructions using coding theory, design theory and finite geometry in the various families of distance regular graphs of large diameters. Features Written by pioneering experts in the domain Suitable as a research reference at the master’s level Includes extensive tables of completely regular codes in the Hamming graph Features a collection of up-to-date surveys

Table of Contents:
1. Completely regular codes and equitable partitions. 2. Completely regular codes over finite fields. 3. Completely regular codes in the Johnson graph. 4. Codes over rings and modules. 5. Group actions on codes in graphs. 6. Some completely regular codes in Doob graphs. 7. Completely regular codes: tables of small parameters for binary and ternary Hamming graphs.

About the Author :
Minjia Shi earned his Ph.D. from the Institute of Computer Network Systems, Hefei University of Technology, China, in 2010. From August 2012 to August 2013, he was a visiting researcher with the School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore. From July 2016 to August 2016, he was a visiting researcher with Telecom Paris Tech, Paris, France. Later, he visited the Sobolev Institute of Mathematics in 2020. He has been a Professor at the School of Mathematical Sciences, Anhui University, since 2017. He is the author of more than 100 journal articles and two books. His current research interests include algebraic coding theory and cryptography. Patrick Solé received the Ingénieur and Docteur-Ingénieur degrees both from École Nationale Supérieure des Télécommunications, Paris, France, in 1984 and 1987, respectively, and the habilitation à diriger des recherches from Université de Nice-Sophia Antipolis, Sophia Antipolis, France, in 1993. He has held visiting positions at Syracuse University, Syracuse, NY, from 1987 to 1989, Macquarie University, Sydney, Australia, from 1994 to 1996, and Lille University, Lille, France, from 1999 to 2000. Since 1989, he has been a permanent member of the CNRS and became Directeur de Recherche in 1996. He is currently a member of the CNRS lab I2M, Marseilles, France. His research interests include coding theory (codes over rings, quasi-cyclic codes), interconnection networks (graph spectra, expanders), vector quantization (lattices), and cryptography (boolean functions, secret sharing schemes). He is the author of over 300 journal articles and 3 books.


Best Sellers


Product Details
  • ISBN-13: 9781032494449
  • Publisher: Taylor & Francis Ltd
  • Binding: Hardback
  • Language: English
  • Series Title: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
  • Width: 178 mm
  • ISBN-10: 1032494441
  • Publisher Date: 13 Mar 2025
  • Height: 254 mm
  • No of Pages: 512
  • Weight: 1120 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Completely Regular Codes in Distance Regular Graphs: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Taylor & Francis Ltd -
Completely Regular Codes in Distance Regular Graphs: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Completely Regular Codes in Distance Regular Graphs: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!