Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Gretchen L Matthews"'
Publikováno v:
IEEE Transactions on Information Theory. 68:1651-1662
In this work, we present linear exact repair schemes for one or two erasures in decreasing monomial-Cartesian codes DM-CC, a family of codes which provides a framework for polar codes. In the case of two erasures, the positions of the erasures should
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67183a5572717341e7ede31f6e2daf11
https://doi.org/10.1109/tit.2021.3130096
https://doi.org/10.1109/tit.2021.3130096
Autor:
Austin Allen, Keller Blackwell, Olivia Fiol, Rutuja Kshirsagar, Bethany Matsick, Gretchen L. Matthews, Zoe Nelson
Publikováno v:
Mathematics, Vol 9, Iss 1, p 40 (2020)
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional
Externí odkaz:
https://doaj.org/article/9d6724a4e8b14b22896d3c0a2197490b
Publikováno v:
2022 IEEE Information Theory Workshop (ITW).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7364687372ba3480819cc291945366f8
https://doi.org/10.1109/itw54588.2022.9965839
https://doi.org/10.1109/itw54588.2022.9965839
Publikováno v:
2022 IEEE International Symposium on Information Theory (ISIT).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4afd3f6fbdad143839d74d0696d92c98
https://doi.org/10.1109/isit50566.2022.9834902
https://doi.org/10.1109/isit50566.2022.9834902
Autor:
Gretchen L. Matthews, Fernando Piñero
Publikováno v:
Designs, Codes and Cryptography. 88:1909-1924
Recently, Skabelund defined new maximal curves which are cyclic extensions of the Suzuki and Ree curves. Previously, the now well-known GK curves were found as cyclic extensions of the Hermitian curve. In this paper, we consider locally recoverable c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d88f7e5f945aa33220b7fb758aeb3a0
https://doi.org/10.1007/s10623-020-00767-2
https://doi.org/10.1007/s10623-020-00767-2
Publikováno v:
Designs, Codes and Cryptography. 88:1673-1685
A monomial-Cartesian code is an evaluation code defined by evaluating a set of monomials over a Cartesian product. It is a generalization of some families of codes in the literature, for instance toric codes, affine Cartesian codes and $J$-affine var
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f17c62eb8fc6f51c0ed4585e0bd1d8c
https://doi.org/10.1007/s10623-020-00726-x
https://doi.org/10.1007/s10623-020-00726-x
Autor:
Gretchen L. Matthews, Aidan W. Murphy
Publikováno v:
Mathematics in Cyber Research ISBN: 9780429354649
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb00284cef37725eb8fd50faab5ea73c
https://doi.org/10.1201/9780429354649-2
https://doi.org/10.1201/9780429354649-2
Autor:
Zoe Nelson, Rutuja Kshirsagar, Austin Allen, Bethany Matsick, Gretchen L. Matthews, Olivia Fiol, Keller Blackwell
Publikováno v:
Mathematics, Vol 9, Iss 40, p 40 (2021)
Mathematics
Volume 9
Issue 1
Mathematics
Volume 9
Issue 1
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed&ndash
Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-di
Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::568d7ef2a7958df5ccaf96161eee9d68
https://www.mdpi.com/2227-7390/9/1/40
https://www.mdpi.com/2227-7390/9/1/40
Autor:
Steven T. Dougherty, Gretchen L Matthews, Jay A. Wood, Janet Beissinger, R. Brualdi, Nick Crews, Shmuel Friedland, Xiang-Dong Hou, W Cary Huffman, Jon-Lark Kim, Naomi Pless, Ben Pless, Dan Pless, Patrick Solé, Sarah Spence Adams, Vladimir D. Tonchev, Harold (Thann) Ward, Judy Walker
Publikováno v:
Notices of the American Mathematical Society. 69:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eac17c49f8b3346de1fba51fba57f2b1
https://doi.org/10.1090/noti2584
https://doi.org/10.1090/noti2584
Autor:
Stephen Timmel, Gretchen L. Matthews
Publikováno v:
ISTC
Polar codes use an explicit channel model, so the precise nature of the communication channel determines if and when polarization occurs. In practice, communication channels typically have memory which affects the probability of error in nearby symbo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cfe81d62c693f50978b9ec52c9bd3ab
https://doi.org/10.1109/istc49272.2021.9594250
https://doi.org/10.1109/istc49272.2021.9594250