So far there is no systematic attempt to construct Boolean functions with maximum annihilator immunity. In this paper we present a construction keeping in mind the basic theory of annihilator immunity. This construction provides functions with the maximum possible annihilator immunity and the weight, nonlinearity and algebraic degree of the functions can be properly calculated under certain cas...

Spectra attacks proposed recently are more data efficient than algebraic attacks against stream cipher. They are also time-andspace efficient. A measurement of the security of a stream cipher against spectra attacks is spectral immunity, the lowest spectral weight of the annihilator of the key stream. We study both the annihilator and the spectral immunity. We obtain a necessary and sufficient ...

A right Johns ring is a Noetherian in which every ideal annihilator. It known that RR the Jacobson radical J(R)J(R) of nilpotent and Soc(R)(R) an essential RR. Moreover, Kasch, is, simple RR-module can be embedded For M∈RM∈R-Mod we use concept MM-annihilator define module (resp. quasi-Johns) as MM such submodule MM-annihilator. called quasi-Johns if any set submodules satisfies ascending chain ...

Let G be graph and let S be a set of lists of colon; at the vertices G is said to be S list-colorable if there exists a proper' /'rllnr"'Hl of G sllch that each vertexi takes its color . Alan and Tarsi! I] have shown that G is S list-colorable if and only if its graph polynomial fC(;1;..):= IT(Xi Xj) i~J does not lie in the ideal I generated by the annihilator polynomials colors available at th...

In this paper, we introduce the notion of co-annihilator of a subsetin a triangle algebra. It is shown that the co-annihilator of asubset is an interval valued residuated lattice (IVRL)-filter. Also, aspecial set of a triangle algebra is defined and the relationshipbetween this set and co-annihilator of a subset in triangle algebrais considered. Finally, co-annihilators preserving congruencerel...

Transitioning to a future society, independent of fossil fuels, will definitely require the use of solar radiation for power and fuel production. Due to energy mismatch between device absorption and the broad band irradiation provided by the sun there are severe limitations to how efficient devices for direct conversion of solar radiation can be. One way to better use the solar radiation would ...