The largest minimum weight of a self-dual doubly-even binary (n, k, d) code is d = 4bn/24c+ 4. Of such codes with length divisible by 24, the Golay Code is the only (24, 12, 8) code, the Extended Quadratic Residue Code is the only known (48, 24, 12) code, and there is no known (72, 36, 16) code. One may partition the search for a (48, 24, 12) self-dual doubly-even code into 3 cases. A previous ...

Morphological residues represent an image in a hierarchical way by means of a decomposition of its structures and according to a size parameter λ. From this decomposition, we can obtain a relation between the different residual levels associated with the complexity of the image structures. In this work, we introduce a new method to filter out components of gray-scale images based on the morphol...

Porcine tissue samples shot with two different types of bullets, jacketed and nonjacketed, were collected in the fresh state and throughout moderate decomposition. Wound samples were microwave-digested and analyzed using inductively coupled plasma mass spectrometry (ICP-MS) to detect all elements present at measurable levels in gunshot residue (GSR). Elements detected included antimony (Sb), ba...

This paper investigated thermal properties of natural thaumasite, such as phase composition and reaction mechanism decomposition using simultaneous TG/DTG-DSC in Ar Air medium up to 1673 K, coupled with masspectrometer for analysis evolving gases, in-situ powder X-ray diffraction measurements. The transitional solid phases, grown increasing temperature at thaumasite decomposition, are calcium h...

Abstract Aims The home-field advantage (HFA) hypothesis predicts faster decomposition of plant residues in home soil compared to soils with different plants ( away ), and has been demonstrated forest grassland ecosystems. It remains unclear if this legacy effect applies crop residue arable rotations. Such knowledge could improve our understanding dynamics may allow optimisation amendments syste...

___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Abstract: An evaluation of hydration and thermal decomposition of HAlg and its sodium salt is described using thermogravimetry (TG) and differential scanning cal...

This paper describes an attempt to combine advantages of the signed digit number representation, applied at the word-level, and the residue number system applied at the digit-level, to achieve arithmetic decomposition of high-radix systems. Also introduced is a new decomposition algorithm for multiple-output Boolean functions based on partition products. Analysis of the proposed new method of a...

Dynamic TG analysis under nitrogen was used to investigate the thermal decomposition processes of 10 types of natural fibers commonly used in the polymer composite industry. These fibers included wood, bamboo, agricultural residue, and bast fibers. Various degradation models including the Kissinger, Friedman, FlynneWalleOzawa, and modified CoatseRedfern methods were used to determine the appare...

The toric residue is a map depending on n + 1 divisors on a complete toric variety of dimension n . It appears in a variety of contexts such as sparse polynomial systems, mirror symmetry, and GKZ hypergeometric functions. In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated po...