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2,306 results on '"Khan, Noor"'

2. Linear codes with few weights over $\mathbb{F}_{p}+u\mathbb{F}_{p}$

Author

Kumar, Pavan and Khan, Noor Mohammad

Subjects
Computer Science - Information Theory, 94B05, 11T71
Abstract

For any positive integer $m$ and an odd prime $p$; let $\mathbb{F}_{q}+u\mathbb{F}_{q}$, where $q=p^{m}$, be a ring extension of the ring $\mathbb{F}_{p}+u\mathbb{F}_{p}.$ In this paper, we construct linear codes over $\mathbb{F}_{p}+u\mathbb{F}_{p}$ by using trace function defined on $\mathbb{F}_{q}+u\mathbb{F}_{q}$ and determine their Hamming weight distributions by employing symplectic-weight distributions of their Gray images.

Published
2024

3. Five-Lee-weight linear codes over $\mathbb{F}_{q}+u\mathbb{F}_{q}$

Author

Kumar, Pavan and Khan, Noor Mohammad

Subjects
Computer Science - Information Theory, 94B05, 11T71
Abstract

In this study, linear codes having their Lee-weight distributions over the semi-local ring $\mathbb{F}_{q}+u\mathbb{F}_{q}$ with $u^{2}=1$ are constructed using the defining set and Gauss sums for an odd prime $q $. Moreover, we derive complete Hamming-weight enumerators for the images of the constructed linear codes under the Gray map. We finally show an application to secret sharing schemes.

Published
2024

27. Reviewing and renewing the use of beneficial root and soil bacteria for plant growth and sustainability in nutrient-poor, arid soils

Author

Khan, Noor, Humm, Ethan A, Jayakarunakaran, Akshaya, and Hirsch, Ann M

Subjects
Microbiology, Agricultural, Veterinary and Food Sciences, Biological Sciences, Crop and Pasture Production, Zero Hunger, plant growth promoting bacteria, sustainable ecosystems, soil bacteria, endophytes, climate change, Plant Biology, Crop and pasture production, Plant biology
Abstract

A rapidly increasing human population coupled with climate change and several decades of over-reliance on synthetic fertilizers has led to two pressing global challenges: food insecurity and land degradation. Therefore, it is crucial that practices enabling both soil and plant health as well as sustainability be even more actively pursued. Sustainability and soil fertility encompass practices such as improving plant productivity in poor and arid soils, maintaining soil health, and minimizing harmful impacts on ecosystems brought about by poor soil management, including run-off of agricultural chemicals and other contaminants into waterways. Plant growth promoting bacteria (PGPB) can improve food production in numerous ways: by facilitating resource acquisition of macro- and micronutrients (especially N and P), modulating phytohormone levels, antagonizing pathogenic agents and maintaining soil fertility. The PGPB comprise different functional and taxonomic groups of bacteria belonging to multiple phyla, including Proteobacteria, Firmicutes, Bacteroidetes, and Actinobacteria, among others. This review summarizes many of the mechanisms and methods these beneficial soil bacteria use to promote plant health and asks whether they can be further developed into effective, potentially commercially available plant stimulants that substantially reduce or replace various harmful practices involved in food production and ecosystem stability. Our goal is to describe the various mechanisms involved in beneficial plant-microbe interactions and how they can help us attain sustainability.

Published
2023

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