Results 11 to 20 of about 6,858,976 (254)

Reversible Self-Dual Codes over Finite Field [PDF]

Cauchy: Jurnal Matematika Murni dan Aplikasi
Reversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4.
Ardi Nur Hidayat, Vira Hari Krisnawati, Abdul Rouf Alghofari   +2 more
doaj   +2 more sources

Linear programming bounds for doubly-even self-dual codes [PDF]

, 1997
Using a variant of linear programming method we derive a new upper bound on the minimum distance d of doubly-even self-dual codes of length n. Asymptotically, for n growing, it gives d/n
Krasikov, I, Simon Litsyn, Ilia Krasikov, I. Krasikov, S. Litsyn   +4 more
core   +2 more sources

The Existence of a Self-Dual [70, 35, 12] Code and Formally Self-Dual Codes [PDF]

, 1997
In this note, the existence of self-dual codes and formally self-dual even codes is investigated. A construction for self-dual codes is presented, based on extending generator matrices.
Harada, Masaaki
core   +1 more source

Self-Dual Convolutional Codes [PDF]

, 2022
This paper investigates the concept of self-dual convolutional code. We derive the basic properties of this interesting class of codes and we show how some of the techniques to construct self-dual linear block codes generalize to self-dual convolutional ...
Lieb, Julia, Rosenthal, Joachim; https://orcid.org/, Heri, Sebastian   +2 more
core   +1 more source

A bilinear approach to a Pfaffian self-dual Yang-Mills equation [PDF]

, 2001
By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is ...
Gilson, C.R., Ohta, Y., Nimmo, J.J.C.
core   +1 more source

Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations [PDF]

, 2009
We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution.
Gilson, C.R., GILSON, CLAIRE R., HAMANAKA, MASASHI, Hamanaka, M., Nimmo, J.J.C., NIMMO, JONATHAN J. C.   +5 more
core   +1 more source

On self-dual affine-invariant codes [PDF]

, 1993
An extended cyclic code of length 2m over GF(2) cannot be self-dual for even m. For odd m, the Redd-Muller code [2m, 2m-1, 2(m+1)/2] is affine-invariant and self-dual and it is the only such code for m = 3 or 5.
Levy-Dit-Vehel, Françoise, Charpin, Pascale   +1 more
core   +4 more sources

Dual-Self-Restricted GFP Chromophore Analogues with Significantly Enhanced Emission

, 2020
The tremendous gap of fluorescence emission of synthetic green fluorescent protein (GFP) chromophore to the protein itself makes it impossible to use for applications in molecular and cellular imaging.
Deyue Yan (1315155), Deyue Yan, Xinyuan Zhu, Chunyang Yu, Hongping Deng (1544353), Chunyang Yu (1977082), Hongping Deng, Xinyuan Zhu (1315158)   +7 more
core   +1 more source

Narain CFTs and error-correcting codes on finite fields

Journal of High Energy Physics, 2022
We construct Narain CFTs from self-dual codes on the finite field F p through even self-dual lattices for any prime p > 2. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability ...
Shinichiro Yahagi
doaj   +1 more source

On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm

Information, 2017
Building-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S.
Sunghyu Han
doaj   +1 more source