Results 1 to 10 of about 548,674 (315)

M-PSK Cooperative Trellis Codes for Coordinate Interleaved Coded Cooperation

EURASIP Journal on Wireless Communications and Networking, 2009
M-PSK cooperative trellis codes are proposed for two-user coordinate interleaved coded cooperation operating over quasistatic Rayleigh fading channels.
Oruç Özgür, Aygölü Ümit   +1 more
doaj   +3 more sources

M-theory cosmology, octonions, error correcting codes

Journal of High Energy Physics, 2021
We study M-theory compactified on twisted 7-tori with G 2-holonomy. The effective 4d supergravity has 7 chiral multiplets, each with a unit logarithmic Kähler potential.
Murat Gunaydin, Renata Kallosh, Andrei Linde, Yusuke Yamada   +3 more
doaj   +1 more source

Codes from $m$-ary $n$-cubes $Q^m_n$: a survey [PDF]

AUT Journal of Mathematics and Computing, 2023
We collect together some known results concerning the codes from adjacency matrices of the graph with vertices the nodes of the $m$-ary $n$-cube $Q^m_n$ and with adjacency defined by the Lee metric, and include some new results.
Jennifer Key, Bernardo Rodrigues
doaj   +1 more source

Quantum MDS and Synchronizable Codes From Cyclic and Negacyclic Codes of Length 2p^s Over F_p^m

IEEE Access, 2020
Let p be an odd prime, and Fp(m) is the finite field of pm elements. In this paper, all maximum distance separable (briefly, MDS) cyclic and negacyclic codes of length 2ps over Fp(m) are established.
Hai Q. Dinh, Bac T Nguyen, Woraphon Yamaka   +2 more
doaj   +1 more source

MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes

IEEE Access, 2021
Symbol-pair codes are used to protect against symbol-pair errors in high density data storage systems. One of the most important tasks in symbol-pair coding theory is to design MDS codes.
Hai Q. Dinh, Bac T. Nguyen, Abhay Kumar Singh, Woraphon Yamaka   +3 more
doaj   +1 more source

Some Classes of New Quantum MDS and Synchronizable Codes Constructed From Repeated-Root Cyclic Codes of Length 6p^s

IEEE Access, 2021
In this paper, we use the CSS and Steane’s constructions to establish quantum error-correcting codes (briefly, QEC codes) from cyclic codes of length $6p^{s}$ over $\mathbb F_{p^{m}}$ .
Hai Q. Dinh, Ha T. Le, Bac T. Nguyen, Paravee Maneejuk   +3 more
doaj   +1 more source

Polyphase alternating codes [PDF]

Annales Geophysicae, 2008
We present a new class of alternating codes. Instead of the customary binary phase codes, the new codes utilize either p or p–1 phases, where p is a prime number. The first class of codes has code length pm, where m is a positive integer, the second
M. Markkanen, J. Vierinen, J. Markkanen
doaj   +1 more source

b-Symbol Distance of Constacylic Codes of Length p^s Over F_p^m + uF_p^m

IEEE Access, 2020
In this research paper, the repeated-root constacyclic codes over the chain ring Fpm + uFpm are considered, where p is a prime and m > 0 is any integer. The b-symbol distance for prime power length, i.e.
H. Q. Dinh, Atul Gaur, A. K. Singh, Manoj Kumar Singh, W. Yamaka   +4 more
doaj   +1 more source

The Gilbert-Varshamov Bound for Stabilizer Codes Over $\mathbb{Z}_m$

IEEE Access, 2018
Quantum codes over finite rings have received a great deal of attention in recent years. Compared with quantum codes over finite fields, a notable advantage of quantum codes over finite rings is that they can adapt to quantum physical systems of ...
Nianqi Tang, Zhuo Li, Lijuan Xing, Ming Zhang   +3 more
doaj   +1 more source

Non-restrictive MDS Array Codes for Correcting Multiple Column Erasures

Journal of King Saud University: Engineering Sciences, 2004
A new family of MDS array codes of size m × n, that we call Br (m, n, t), for correcting multiple column erasures is proposed. Br(m, n, t) codes achieve the maximum possible correcting capability, i.e., they are MDS codes with dmin = r + 1.
A.M. Al-Shahrani, A.K. Al-Jabri
doaj   +1 more source