Asset Details
Do you wish to reserve the book?
Locally maximal recoverable codes and LMR-LCD codes
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Locally maximal recoverable codes and LMR-LCD codes
Do you wish to request the book?
Locally maximal recoverable codes and LMR-LCD codes
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Locally maximal recoverable codes and LMR-LCD codes
2024
Overview
In this work, we propose two new types of codes with locality, namely, locally maximal recoverable (LMR) codes and
λ
-maximally recoverable (
λ
-MR) codes. The LMR codes are a subclass of codes with
(
r
,
δ
)
-locality such that they can correct
h
additional erasures in any one local set, in addition to having
(
r
,
δ
)
-locality. These codes are a restricted case of maximally recoverable (MR) codes, which enable recovery from all information-theoretically correctable erasure patterns in a local set. The
λ
-MR codes are a subclass of LMR codes which can also handle
λ
erasures from any coordinate positions. We give constructions for both of these families of codes. We also study the LMR codes that satisfy the complementary dual property. It is well known that codes with this property are capable of safeguarding communication systems against fault injection attacks. We give a construction of distance-optimal cyclic LMR codes that satisfy the complementary dual property.
Publisher
Springer US,Springer Nature B.V
