Results 1 to 10 of about 1,807,959 (233)

M-theory cosmology, octonions, error correcting codes [PDF]

open access: yesJournal 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   +3 more
doaj   +4 more sources

M-PSK Cooperative Trellis Codes for Coordinate Interleaved Coded Cooperation

open access: yesEURASIP 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   +1 more
doaj   +5 more sources

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

open access: yesAUT 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 2ps Over Fpm

open access: yesIEEE 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   +2 more
doaj   +1 more source

MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes

open access: yesIEEE 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   +3 more
doaj   +1 more source

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

open access: yesIEEE 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   +3 more
doaj   +1 more source

Polyphase alternating codes [PDF]

open access: yesAnnales 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

Efficient m-ary balanced codes

open access: yesDiscrete Applied Mathematics, 1999
This paper, presents new efficient \(m\)-ary balanced code designs which for all values of \(m\geq 2\), improve the redundancy of all the codes mentioned above. To design these codes , the information words which are close to be balanced are encoded using single maps obtained by a new generalization of Knuth's complementation method to the \(m\)-ary ...
TALLINI, Luca, U. VACCARO
openaire   +2 more sources

b-Symbol Distance of Constacylic Codes of Length ps Over Fpm + uFpm

open access: yesIEEE 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   +4 more
doaj   +1 more source

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

open access: yesIEEE 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   +3 more
doaj   +1 more source

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