In this paper we consider controllable behaviors over Zpr that admit an image representation which has a Laurent polynomial left inverse. We solve the problem of determining a minimal state diagram representation for such behaviors. Using the concept of p-basis for submodules of Zpr [z], that was introduced in (Kuijper et al., 2007), we define an expanded type of image representations for the g...

Feed deprivation is the most common method used to induce molting and stimulate multiple egg-laying cycles in laying hens for commercial egg production. Unfortunately, an increased risk of Salmonella enteritidis (SE) colonization may result from the use of this method. Methods to stimulate multiple egg-laying cycles without increasing the risk of SE are needed. In each of 3 experiments, hens ov...

The Galois ring GR(p,m) of characteristic p and cardinality p, where p is a prime and r,m ≥ 1 are integers, is a Galois extension of the residue class ring Zpr by a root ω of a monic basic irreducible polynomial of degree m over Zpr . Every element of GR(p ,m) can be expressed uniquely as a polynomial in ω with coefficients in Zpr and degree less than or equal to m − 1, thus GR(p,m) is a free m...

مکانیزم شکست ناشی از خزش در طی حادثه شدید یک رآکتور‌ آبی‌تحت‌فشار به‌جهت انتقال مواد رادیواکتیو به محیط‌زیست اهمیت ویژه‌ای برخوردار است. دنبال شدید، حرارت واپاشی منتقل‌شده سایر قسمت‌های سیستم‌خنک‌کننده رآکتور می‌تواند منجر گرم‌شدن سازه‌های سیستم خنک‌کننده (RCS) و خرابی نواحی تحت‌فشار آسیب‌پذیر شود. قطع‌کامل‌برق (SBO) بدون اقدامات اپراتور (توالی TMLB) یکی محتمل‌ترین سناریوهایی است که ممکن یکپارچ...

The Galois ring GR(p,m) of characteristic p and cardinality p, where p is a prime and r,m ≥ 1 are integers, is a Galois extension of the residue class ring Zpr by a root ω of a monic basic irreducible polynomial of degree m over Zpr . Every element of GR(p ,m) can be expressed uniquely as a polynomial in ω with coefficients in Zpr and degree less than or equal to m − 1, thus GR(p,m) is a free m...

In this paper, we consider the hidden subgroup problem (HSP) over the class of semi-direct product groups Zpr ⋊ Zq, for p and q prime. We first present a classification of these groups in five classes. Then, we describe a polynomial-time quantum algorithm solving the HSP over all the groups of one of these classes: the groups of the form Zpr ⋊ Zp, where p is an odd prime. Our algorithm works ev...

Resumo Maximum Distance Separable (MDS) convolutional codes are characterized through the property that the free distance meets the generalized Singleton bound. The existence of free MDS convolutional codes over Zpr was recently discovered in [26] via the Hensel lift of a cyclic code. In this paper we further investigate this important class of convolutional codes over Zpr from a new perspectiv...

Partial difference sets with parameters (v,k,k,/x) = (v,(v— l)/2,(v — 5)/4,(v— l)/4) are called Paley partial difference sets. By using finite local rings, we construct a family of Paley PDSs for abelian/7-groups with any given exponent. Furthermore, we prove some non-existence results on Paley PDSs. Using these results, we prove that Paley PDSs exist in a rank 2 abelian group if and only if th...