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 $g=4$

Effect of pyridoxine treatment of a homocystinuric patient on the urinary excretion of some sulfur-containing amino acids

The effect of pyridoxine treatment of a homocystinuric patient on the urinary excretion of some sulfur-containing amino acids was studied and the following results were obtained. As a result of pyridoxine treatment, urinary homocystine decreased to a fairly great extent, and its unusual metabolites S.(3-hydroxy-3-carboxyn- propylthio) homocysteine (HCPTHC) and S-C8-carboxyethylthio homocysteine (j3-CETHC) increased to some extent. But its oxidation product (homocysteic acid) showed a tendency to decrease slightly. Urinary methionine and cystine increased to some extent, but cysteinehomocysteine mixed disulfide showed no remarkable change.</p

Composite-type Rb-87 optical-pumping light source for the rubidium frequency standard

The light source is composed of a cylindrical Rb-87 lamp 10 mm diameter and a Rb-85 filter cell 3-7 mm long attached to the front flat face of the lamp. This composite type device is operated in an oven at about 100 C. Thus a light source for Rb-87 hyperfine optical pumping less than 4 cm long by 3 cm diameter was constructed

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 $2$