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Efficient VLSI architecture for interpolation decoding of hermitian codes
Srivastava, Shraddha,Kwankyu Lee,Popovici, Emanuel IET 2014 IET COMMUNICATIONS Vol.8 No.5
<P>A fast, area efficient very large scale integration (VLSI) architecture is proposed for a unique decoding algorithm of Hermitian codes which was presented recently by Lee and O'Sullivan from an interpolation perspective. The algorithm iteratively computes the sent message through a majority voting procedure by using the Gröbner bases of interpolation modules. The algorithm has a regular structure which makes it suitable for VLSI implementation. The circuitry is simplified as the decoding algorithm directly gives the message word at the end of the decoding algorithm without separate steps like Chien search and Forney's formula. In terms of hardware requirements, for the widely used high rate Hermitian codes, the Lee-O'Sullivan algorithm is <I>q</I> times faster than Kötters algorithm with the same space complexity of <I>O</I>(<I>q</I><SUP>4</SUP>). Further speed improvements can be achieved by combining the main idea of Guruswami list decoding with the Lee-O'Sullivan algorithm. In terms of hardware, the addition of this concept, will further reduce the running time of the algorithm and make the circuitry about two times faster than the original Lee-O'Sullivan algorithm. The implementation results for both the Köetter and the Lee-O'Sullivan algorithms on Xilinx Virtex-5 shows that the proposed decoder can be operated at higher clock frequency with almost same area complexity.</P>
FINITE QUOTIENTS OF SINGULAR ARTIN MONOIDS AND CATEGORIFICATION OF THE DESINGULARIZATION MAP
Helena Jonsson,Volodymyr Mazorchuk,Elin Persson Westin,Shraddha Srivastava,Mateusz Stroinski,Xiaoyu Zhu Korean Mathematical Society 2023 대한수학회지 Vol.60 No.6
We study various aspects of the structure and representation theory of singular Artin monoids. This includes a number of generalizations of the desingularization map and explicit presentations for certain finite quotient monoids of diagrammatic nature. The main result is a categorification of the classical desingularization map for singular Artin monoids associated to finite Weyl groups using BGG category 𝒪.
Jeong-Pyo Kim,Sung-Il Jung,Young-Suk Sim,백운규,Vijay K. Srivastava,Shraddha Singh,Akash Mohanty,정연길 한국물리학회 2009 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.54 No.3
The oxidation behavior of graphite substrates with silicon carbide (SiC) and silicon nitride (Si3N4) coatings, prepared by using a solid-vapor reaction process, was investigated in cyclic oxidation tests. The effect of the porosity of the substrate on the oxidation behavior was also investigated. Substrates with the SiC coating showed higher weight loss than those with the Si3N4 coating. Oxidation of the substrates with 10 and 13 % porosities with the Si3N4 coating took place at 900℃ and at 1000℃, respectively. However, after long term cyclic oxidation tests, the substrate with 13 % porosity with the Si3N4 coating was oxidized at a relatively low temperature of 800℃, even though the weight loss was below 10 %. In the case of the SiC coatings, detachment of the coating region or full oxidation of the substrates took place whereas in the case of the Si3N4 coatings, no evidence of delamination or detachment of the coating region was observed after oxidation. The oxidation was affected by the coating thickness and by the type of materials coated on the substrate, not by the porosity of the substrate itself, although the coating thickness did depend on the porosity of the substrate.