On the image of code polynomials under theta map

The theta map sends code polynomials into the ring of Siegel modular forms of even weights. Explicit description of the image is known for $g\leq 3$ and the surjectivity of the theta map follows. Instead it is known that this map is not surjective for $g\geq 5$. In this paper we discuss the possibility of an embedding between the associated projective varieties. We prove that this is not possible for $g\geq 4$ and consequently we get the non surjectivity of the graded rings for the remaining case $g=4$

On the integral ring spanned by genus two weight enumerators

It is known that the weight enumerator of a self-dual doubly-even code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials with integral coeffcients. We settle the case where g = 2 and prove the non-existence of such polynomials under some conditions

OBSERVATION ON THE WEIGHT ENUMERATORS FROM CLASSICAL INVARIANT THEORY

The purpose of this paper is to collect computations related to the weight enumerators and to present some relationships among invariant rings.The latter is done by combining two maps,the Brou\'e-Enguehard map and Igusa's \rho homomorphism. For the completeness of the story,some formulae are given which are not necessarily used in the present manuscript.Sections 1 and 2 contain no new result

Eisenstein polynomials associated to binary codes

The Eisenstein polynomial is the weighted sum of all classes of Type II codes of fixed length. In this note, we investigate the ring of the Eisenstein polynomials in genus $2$

Remark on the weight enumerators and Siegel modular forms

The purpose of this note is to study the coefficients of the polynomials if we express the weight enumerator as the polynomial the fixed generators

Proposal For Applying Quality Management Techniques To Manage Welfare Facilities For The Elderly

In recent years, the quality of services at welfare facilities for the elderly has come into question and differences in concepts and ways of approach toward quality are affecting facility performances. In the context of quality management, the concept of quality has extended from a mere focus on service to business processes, and now focuses specifically on quality in welfare facility management. Care workers have typically been responsible for the quality of care in welfare facilities. However, as it has become difficult to retain already-trained care workers and also source fresh, competent care workers to provide care for the elderly in welfare facilities, there is a pressing need to adopt measures to find, train, and retain skilled care workers. We propose a quality management model to effectively manage welfare facilities for the elderly with an emphasis on improving the intellectual productivity of care workers in these facilities. This model is centered mainly on information sharing to secure and develop skilled human resources in order to ensure the delivery of high quality services in these facilities. Moreover, in this model, it is conditional that CS, ES, SS are met under stable management and environment that same quality and optimal services are offered. Further, we report examples of the application of this model and its effectiveness